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%I #11 May 01 2014 02:44:22
%S 3,19,68,185,426,875,1652,2922,4905,7887,12232,18395,26936,38535,
%T 54008,74324,100623,134235,176700,229789,295526,376211,474444,593150,
%U 735605,905463,1106784,1344063,1622260,1946831
%N Seventh column of quintinomial coefficients.
%F a(n) = A035343(n+2, 6) = binomial(n+2, 2)*(n^4+24*n^3+221*n^2+954*n+1080)/(6!/2!), n >= 0.
%F G.f.: (3-2*x-2*x^2+3*x^3-x^4)/(1-x)^7; numerator polynomial is N5(6, x) from the array A063422.
%F a(n) = 3*C(n+2,2) + 10*C(n+2,3) + 10*C(n+2,4) + 5*C(n+2,5) + C(n+2,6) (see comment in A213887). - _Vladimir Shevelev_ and _Peter J. C. Moses_, Jun 22 2012
%Y Cf. A027659 (sixth column).
%K nonn,easy
%O 0,1
%A _Wolfdieter Lang_, Aug 29 2001