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A140228 Binomial transform of [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1,...]. 0
1, 6, 21, 56, 126, 252, 463, 798, 1308, 2058, 3129, 4620, 6650, 9360, 12915, 17506, 23352, 30702, 39837, 51072, 64758, 81284, 101079, 124614, 152404, 185010, 223041, 267156, 318066, 376536, 443387 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

FORMULA

A007318 * [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1,...]

a(n)=n(274+85n+n^4)/60 for n>=1. G.f.=(1+x^6)/(1-x)^6. - Emeric Deutsch, Jun 03 2008

EXAMPLE

a(4) = 56 = (1, 3, 3, 1) dot (1, 5, 10, 10) = (1 + 15 + 30 + 10).

MAPLE

1, seq((1/60)*n*(274+85*n^2+n^4), n=1..30); - Emeric Deutsch, Jun 03 2008

CROSSREFS

Sequence in context: A090581 A000389 A143980 * A264926 A006090 A192080

Adjacent sequences:  A140225 A140226 A140227 * A140229 A140230 A140231

KEYWORD

nonn

AUTHOR

Gary W. Adamson, May 12 2008

EXTENSIONS

More terms from Emeric Deutsch, Jun 03 2008

STATUS

approved

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Last modified February 23 11:41 EST 2018. Contains 299579 sequences. (Running on oeis4.)