Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 2013-04-14 18:19:43

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Julianthemath's number 3

This is my third version of the Julianthemath number (since Nehushtan got the rule of my sequence).

It is the sum of 2 consecutive square numbers, and 2 consecutive triangular numbers, minus the 2 square roots and 2 triangular roots. Here, for simplification :

S = Square
SR = Square Root
T = Triangular
TR = Triangular root

This is also called the : Squmintrius number (complex, right? )

Examples :
1. ( (1+4)-(1+2) ) + ( (1+3)-(1+2) )
( 5 - 3 ) + ( 4 - 3 )
2 + 1
3, a Squimintrius number

2. ( (4+9)-(2+3) ) + ( (3+6)-(2+3) )
( 13 - 5 ) + ( 9 - 5 )
8 + 4
12

3. ( (9+16)-(3+4) ) + ( (6+10)-(3+4) )
( 25 - 7 ) + ( 16 - 7 )
18 + 9
27

So, the Squimintrius sequence is : 3, 12, 27... So, what's the pattern here?

Last edited by julianthemath (2013-04-14 19:05:29)

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

Offline

## #2 2013-04-14 18:48:38

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

That second number should be 12 not 11.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #3 2013-04-14 19:04:34

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Julianthemath's number 3

Oh.

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

Offline

## #4 2013-04-14 19:16:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

48 is the next number.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #5 2013-04-14 19:18:42

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Julianthemath's number 3

Good. Next pattern soon!

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

Offline

## #6 2013-04-14 20:10:24

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Julianthemath's number 3

-2, -1, 8, 31, 74, 143, 244, 383, 566, 799...

Guess the pattern.

Mathematichs is the queen of sciences - C. F. Gauss

Offline

## #7 2013-04-14 20:25:47

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Julianthemath's number 3

Don't know. Maybe you should post it in "Berliner's number 1", or something

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

Offline

## #8 2013-04-14 20:30:47

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Julianthemath's number 3

Thanks. By the way the formula was:

a(n) = n^3-2n^2-1

Mathematichs is the queen of sciences - C. F. Gauss

Offline

## #9 2013-04-14 21:23:36

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

### Re: Julianthemath's number 3

In the OEIS again.

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

Offline

## #10 2013-04-14 21:33:04

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Julianthemath's number 3

It's one of my sequence

Mathematichs is the queen of sciences - C. F. Gauss

Offline

## #11 2013-04-15 06:27:23

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

Continue this sequence and find the general form:
1,2,3,4,5,6,7,8,...

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #12 2013-04-15 06:58:05

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

Did you check the OEIS?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #13 2013-04-15 07:16:28

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

There are many possible answers that OEIS gives. But not all are the ones I am looking for.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #14 2013-04-15 07:19:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

It could be a new sequence. I would like very much to see a few more terms. Can you compute them?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #15 2013-04-15 07:33:36

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

I am sure it is not new.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #16 2013-04-15 07:39:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

Okay, thanks for the help.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #17 2013-04-15 07:49:48

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

This one:
1,5,4,22,26,86,...
on the other hand, is a new one. Or at least is not in the OEIS.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #18 2013-04-15 07:55:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

Hmmm, now you are talking. Let's have a few more of em and we are in business.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #19 2013-04-15 08:21:32

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

Do you want just the terms or the reccurence?

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #20 2013-04-15 08:23:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

Hi;

The recurrence? Of course, provide it!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #21 2013-04-15 08:40:48

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

It is kinda unusual, though.

Last edited by anonimnystefy (2013-04-15 08:41:37)

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #22 2013-04-15 08:47:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

The tensor operator does what here?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #23 2013-04-15 08:50:53

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

It represents the xor operation.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

## #24 2013-04-15 08:56:17

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Julianthemath's number 3

Okay, exclusive or. The next looks like a binary representation?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #25 2013-04-15 09:54:09

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: Julianthemath's number 3

Yes, that is what it is.

You can replace it with this:

Last edited by anonimnystefy (2013-04-15 09:57:54)

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline