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A063263 Ninth column (k=8) of sextinomial array A063260. 3
3, 27, 125, 420, 1161, 2807, 6147, 12465, 23760, 43032, 74646, 124787, 202020, 317970, 488138, 732870, 1078497, 1558665, 2215875, 3103254, 4286579, 5846577, 7881525, 10510175, 13875030, 18145998, 23524452 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n) = A063260(n+2, 8) = (n+1)*(n+2)*(n+3)*(n^5+38*n^4+587*n^3+4678*n^2+19896*n+20160)/8!.

G.f.: (3-10*x^2+15*x^3-9*x^4+2*x^5)/(1-x)^9; the numerator polynomial is N6(8, x) from row n=8 of array A063261.

a(n) = 3*C(n+2,2) + 18*C(n+2,3) + 35*C(n+2,4) + 35*C(n+2,5) + 21*C(n+2,6) + 7*C(n+2,7) + C(n+2,8) (see comment in A213888). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

CROSSREFS

Cf. A063262, A213888.

Sequence in context: A261716 A267924 A241678 * A204809 A034200 A306442

Adjacent sequences:  A063260 A063261 A063262 * A063264 A063265 A063266

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jul 24 2001

STATUS

approved

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Last modified December 11 07:44 EST 2019. Contains 329914 sequences. (Running on oeis4.)