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%I #14 Apr 30 2022 14:44:58
%S 3,31,155,546,1554,3823,8451,17205,32802,59268,102388,170261,273975,
%T 428418,653242,973998,1423461,2043165,2885169,4014076,5509328,7467801,
%U 10006725,13266955,17416620,22655178,29217906
%N Ninth column of quadrinomial coefficients.
%F a(n)= A008287(n+3, 8)= binomial(n+3, 3)*(n^5+46*n^4+875*n^3+7118*n^2+23880*n+20160)/(8!/3!), n >= 0.
%F G.f.: (3+4*x-16*x^2+15*x^3-6*x^4+x^5 )/(1-x)^9, numerator polynomial is N4(8, x) from the array A063421.
%F a(n) = 3*C(n+3,3) + 19*C(n+3,4) + 30*C(n+3,5) + 21*C(n+3,6) + 7*C(n+3,7) + C(n+3,8) (see comment in A071675). - _Vladimir Shevelev_ and _Peter J. C. Moses_, Jun 22 2012
%t Table[3Binomial[n+3,3]+19Binomial[n+3,4]+30Binomial[n+3,5]+21 Binomial[n+3,6]+ 7 Binomial[n+3,7]+ Binomial[n+3,8],{n,0,30}] (* _Harvey P. Dale_, Apr 30 2022 *)
%Y A001919 (eighth column).
%K nonn,easy
%O 0,1
%A _Wolfdieter Lang_, Aug 29 2001
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