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 A104680 #17 Aug 30 2022 09:44:30 %S A104680 792,13728,123552,772200,3775200,15402816,54609984,172931616, %T A104680 498841200,1330243200,3316739712,7801876368,17439488352,37263864000, %U A104680 76488984000,151448188320,290275694280,540192201120,978609060000,1729734435000,2988981103680,5058275713920 %N A104680 a(n) = binomial(n+7,7)*binomial(n+12,7). %H A104680 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003, 1365,-455,105,-15,1). %F A104680 G.f.: -264*(3+7*x+3*x^2)/(x-1)^15. - _R. J. Mathar_, Nov 29 2015 %F A104680 From _Amiram Eldar_, Aug 30 2022: (Start) %F A104680 Sum_{n>=0} 1/a(n) = 1263966463/1306800 - 98*Pi^2. %F A104680 Sum_{n>=0} (-1)^n/a(n) = 3935051/13068 - 14336*log(2)/33. (End) %e A104680 If n=0 then C(0+7,0+0)*C(0+12,7) = C(7,0)*C(12,7) = 1*792 = 792. %e A104680 If n=6 then C(6+7,6+0)*C(6+12,7) = C(13,6)*C(18,7) = 1716*32824 = 54609984. %t A104680 a[n_] := Binomial[n + 7, 7] * Binomial[n + 12, 7]; Array[a, 25, 0] (* _Amiram Eldar_, Aug 30 2022 *) %Y A104680 Cf. A062190. %K A104680 easy,nonn %O A104680 0,1 %A A104680 _Zerinvary Lajos_, Apr 22 2005