A063263 Ninth column (k=8) of sextinomial array A063260.

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

Offset

0,1

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

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. A062989, A063260, A063261, A063262, A063264, A213888.

Sequence in context: A261716 A267924 A241678 * A204809 A367967 A034200

Adjacent sequences: A063260 A063261 A063262 * A063264 A063265 A063266

Keyword

nonn,easy

Author

Wolfdieter Lang, Jul 24 2001

Status

approved