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 A107319 #17 Feb 22 2025 04:02:51
%S A107319 1,63,1260,13860,103950,594594,2774772,11042460,38648610,121671550,
%T A107319 350414064,935402832,2338507080,5521090680,12394285200,26606398896,
%U A107319 54875697723,109181751525,210275965900,393175282500,715579014150,1270517841450,2205030964500,3747302149500
%N A107319 a(n) = C(n+8,8) * C(n+6,6).
%H A107319 G. C. Greubel, <a href="/A107319/b107319.txt">Table of n, a(n) for n = 0..1000</a>
%H A107319 <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 A107319 From _Amiram Eldar_, Sep 08 2022: (Start)
%F A107319 Sum_{n>=0} 1/a(n) = 6336*Pi^2 - 76602676/1225.
%F A107319 Sum_{n>=0} (-1)^n/a(n) = 1365906/1225 - 80*Pi^2 - 16384*log(2)/35. (End)
%e A107319 If n=0 then C(0+8,8)*C(0+6,6) = C(8,8)*C(6,6) = 1*1 = 1.
%e A107319 If n=6 then C(6+8,8)*C(6+6,6) = C(14,8)*C(12,6) = 3003*924 = 2774772.
%t A107319 Table[Binomial[n+8,8]Binomial[n+6,6],{n,0,20}] (* _Harvey P. Dale_, Sep 02 2016 *)
%o A107319 (Magma)
%o A107319 A107319:= func< n | Binomial(n+6,6)*Binomial(n+8,8) >;
%o A107319 [A107319(n): n in [0..40]]; // _G. C. Greubel_, Feb 22 2025
%o A107319 (SageMath)
%o A107319 def A107319(n): return binomial(n+6,6)*binomial(n+8,8)
%o A107319 print([A107319(n) for n in range(41)]) # _G. C. Greubel_, Feb 22 2025
%Y A107319 Cf. A062196.
%K A107319 easy,nonn
%O A107319 0,2
%A A107319 _Zerinvary Lajos_, May 21 2005
%E A107319 More terms from _Harvey P. Dale_, Sep 02 2016