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#1 2013-04-15 16:19:43

mathaholic
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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? smile)

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 (2013-04-15 17:05:29)


246 pages on Prime Numbers Wiki (+1)
 

#2 2013-04-15 16:48:38

bobbym
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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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2013-04-15 17:04:34

mathaholic
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Re: Julianthemath's number 3

Oh.


246 pages on Prime Numbers Wiki (+1)
 

#4 2013-04-15 17:16:01

bobbym
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Re: Julianthemath's number 3

48 is the next number.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#5 2013-04-15 17:18:42

mathaholic
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Re: Julianthemath's number 3

Good. Next pattern soon!


246 pages on Prime Numbers Wiki (+1)
 

#6 2013-04-15 18:10:24

berliner
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Re: Julianthemath's number 3

How about this sequence:

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

Guess the pattern.


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

#7 2013-04-15 18:25:47

mathaholic
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Re: Julianthemath's number 3

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


246 pages on Prime Numbers Wiki (+1)
 

#8 2013-04-15 18:30:47

berliner
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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
 

#9 2013-04-15 19:23:36

mathaholic
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Re: Julianthemath's number 3

In the OEIS again. sad


246 pages on Prime Numbers Wiki (+1)
 

#10 2013-04-15 19:33:04

berliner
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Re: Julianthemath's number 3

It's one of my sequence


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

#11 2013-04-16 04:27:23

anonimnystefy
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Re: Julianthemath's number 3

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


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#12 2013-04-16 04:58:05

bobbym
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Re: Julianthemath's number 3

Did you check the OEIS?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#13 2013-04-16 05:16:28

anonimnystefy
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Re: Julianthemath's number 3

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


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#14 2013-04-16 05:19:30

bobbym
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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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#15 2013-04-16 05:33:36

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

I am sure it is not new.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#16 2013-04-16 05:39:55

bobbym
Administrator

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Re: Julianthemath's number 3

Okay, thanks for the help.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#17 2013-04-16 05:49:48

anonimnystefy
Real Member

Online

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.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#18 2013-04-16 05:55:30

bobbym
Administrator

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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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#19 2013-04-16 06:21:32

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Do you want just the terms or the reccurence?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#20 2013-04-16 06:23:50

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#21 2013-04-16 06:40:48

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

It is kinda unusual, though.

Last edited by anonimnystefy (2013-04-16 06:41:37)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#22 2013-04-16 06:47:31

bobbym
Administrator

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Re: Julianthemath's number 3

The tensor operator does what here?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#23 2013-04-16 06:50:53

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

It represents the xor operation.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#24 2013-04-16 06:56:17

bobbym
Administrator

Online

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#25 2013-04-16 07:54:09

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Yes, that is what it is.

You can replace it with this:

Last edited by anonimnystefy (2013-04-16 07:57:54)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

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