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

Author

Paul Barry, Jun 27 2003

Keywords

• easy
• nonn

Links

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

Crossrefs

Cf. A002412.

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

Programs

PARI

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

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