

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(1x)(1+2x)/(12x)^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



