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A135748 a(n) = Sum_{k=0..n} C(n,k)*2^(k^2). 2
1, 3, 21, 567, 67689, 33887403, 68921796861, 563431696713567, 18451249599365935569, 2418017680197896730749523, 1267674779574792745831097365221, 2658469935859419140387217204140789127 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

MATHEMATICA

Table[Sum[Binomial[n, k]2^k^2, {k, 0, n}], {n, 0, 15}] (* Harvey P. Dale, May 30 2013 *)

PROG

(PARI) {a(n)=sum(k=0, n, binomial(n, k)*2^(k^2))}

CROSSREFS

Sequence in context: A032469 A006927 A014375 * A145386 A135327 A128679

Adjacent sequences:  A135745 A135746 A135747 * A135749 A135750 A135751

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 27 2007

STATUS

approved

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Last modified September 2 00:06 EDT 2014. Contains 246317 sequences.