login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jun 27 2003
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)