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%I #16 May 01 2014 02:44:21
%S 4,37,180,640,1876,4809,11152,23905,48070,91652,167024,292747,495950,
%T 815390,1305328,2040374,3121472,4683215,6902700,10010154,14301584,
%U 20153727,28041600,38558975,52442130
%N Tenth column (k=9) of septinomial array A063265.
%F a(n) = A063265(n+2, 9) = (n+1)*(n+2)*(n+3)*(n^6+48*n^5+967*n^4+10548*n^3+66676*n^2+239280*n+241920)/9!.
%F G.f.: (4-3*x-10*x^2+25*x^3-24*x^4+11*x^5-2*x^6)/(1-x)^10; the numerator polynomial is N7(8, x) from row n=8 of array A063266.
%F a(n) = 4*C(n+2,2) + 25*C(n+2,3) + 56*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 A213889). - _Vladimir Shevelev_ and _Peter J. C. Moses_, Jun 22 2012
%Y Cf. A063417, A213889.
%K nonn,easy
%O 0,1
%A _Wolfdieter Lang_, Jul 24 2001
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