[seqfan] Re: a puzzle sequebce

[Robert Munafo]

0, 0, 6, 42, 156, 420, 930, 1806, 3192, 5256, 8190, 12210, 17556, 24492,
33306, 44310, 57840, 74256, 93942, 117306, 144780, 176820, 213906, 256542,
305256, ...
  MCS496267 : A[0] = 0; A[K+1] = A[K] + 4 K^3 + 2 K

This is the "simplest" recurrence relation according to a weighted sum of
terms in the recurrence formula. For background on the MCS system and
algorithms see http://mrob.com/pub/math/MCS.html

- Robert Munafo

On Sun, Jul 25, 2010 at 20:57, N. J. A. Sloane <njas at research.att.com>wrote:

>
> - i dont know answer
>
> this was from Terry Stickel
>
> i'm at a hotelw
> with pitiful wifi service by the way
>
> >From Terrystickels at aol.com Sun Jul 25 11:53:58 2010
>
> Neil:
>
> Hope this finds you well. A reader of mine sent me the following sequence
> and swears there are enough terms in it to find the next number/s:
>
> 0,0, 6,42,156  . . .
>
> He goes on to say that the first zero is the " zeroth " term, the second
> zero, of course, is the first term. I'm usually pretty good at cracking
> these
>  and unless he has made a mistake in presentation, I don't have a clue as
> to what  this sequence is. I did find one sequence in your Encyclopedia
> that
> begins 6,42,  156  . .  but I'm not sure if that is applicable here. Any
> guesses?
>
> any ideas? - neil
>

-- 
  Robert Munafo  --  mrob.com