A063264 Tenth column (k=9) of sextinomial array A063260.

2, 25, 140, 540, 1666, 4417, 10480, 22825, 46420, 89232, 163592, 288015, 489580, 806990, 1294448, 2026502, 3104030, 4661555, 6876100, 9977814, 14262622, 20107175, 27986400, 38493975, 52366080, 70508802

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

a(n) = A063260(n+2, 9) = (n+1)*(n+2)*(n+3)*(n+4)*(n^5+44*n^4+791*n^3+7384*n^2+37140*n+30240)/9!.

G.f.: (2+5*x-20*x^2+25*x^3-14*x^4+3*x^5)/(1-x)^10; the numerator polynomial is N6(8, x) from row n=8 of array A063261.

a(n) = 2*C(n+2,2) + 19*C(n+2,3) + 52*C(n+2,4) + 70*C(n+2,5) + 56*C(n+2,6) + 28*C(n+2,7) + 8*C(n+2,8) + C(n+2,9) (see comment in A213888). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

Crossrefs

Cf. A062989, A063260, A063261, A063262, A063263, A213888.

Sequence in context: A080515 A258943 A009381 * A024533 A220276 A361874

Adjacent sequences: A063261 A063262 A063263 * A063265 A063266 A063267

Keyword

nonn,easy

Author

Wolfdieter Lang, Jul 24 2001

Status

approved