A085385 Binomial transform of hexagonal pyramidal numbers A002412.

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

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