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A085385 Binomial transform of hexagonal pyramidal numbers A002412. 0
0, 1, 9, 46, 184, 640, 2032, 6048, 17152, 46848, 124160, 321024, 813056, 2023424, 4960256, 12001280, 28704768, 67960832, 159449088, 371064832, 857210880, 1967128576, 4486856704, 10177478656, 22968008704, 51589939200, 115376914432 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (8,-24,32,-16).

FORMULA

a(n) = n*2^n(2n^2 + 9n + 1)/4!.

G.f.: x(1-x)(1+2x)/(1-2x)^4. - R. J. Mathar, Oct 23 2008

PROG

(PARI) a(n) = n*2^n*(2*n^2+9*n+1)/4! \\ Michel Marcus, May 18 2013

CROSSREFS

Cf. A002412.

Cf. A014483, A087076 (partial sums). - R. J. Mathar, Oct 23 2008

Sequence in context: A035039 A001926 A213749 * A217152 A081193 A250722

Adjacent sequences: A085382 A085383 A085384 * A085386 A085387 A085388

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jun 27 2003

STATUS

approved

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Last modified December 9 11:21 EST 2022. Contains 358700 sequences. (Running on oeis4.)