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A063264
Tenth column (k=9) of sextinomial array A063260.
6
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
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jul 24 2001
STATUS
approved