This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A063264 #18 Aug 19 2023 10:39:35 %S A063264 2,25,140,540,1666,4417,10480,22825,46420,89232,163592,288015,489580, %T A063264 806990,1294448,2026502,3104030,4661555,6876100,9977814,14262622, %U A063264 20107175,27986400,38493975,52366080,70508802 %N A063264 Tenth column (k=9) of sextinomial array A063260. %H A063264 Ray Chandler, <a href="/A063264/b063264.txt">Table of n, a(n) for n = 0..1000</a> %H A063264 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1). %F A063264 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!. %F A063264 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. %F A063264 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 %Y A063264 Cf. A062989, A063260, A063261, A063262, A063263, A213888. %K A063264 nonn,easy %O A063264 0,1 %A A063264 _Wolfdieter Lang_, Jul 24 2001