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 A114059 #10 Sep 05 2025 02:01:27 %S A114059 56,1050,16632,252252,3775200,56316546,840639800,12575971408, %T A114059 188663555808,2838687761000,42836302222560,648207031545000, %U A114059 9834444563299200,149569451148798450,2279905857066915000,34825702701626575200,532997250488883180000,8172044956118671828200 %N A114059 a(n) = binomial(3+2*n, n) * binomial(8+2*n, 3+n). %H A114059 Andrew Howroyd, <a href="/A114059/b114059.txt">Table of n, a(n) for n = 0..200</a> %F A114059 a(n) = A062190(3+2*n, 3+n). %F A114059 a(n) ~ 2^(4*n+11) / (Pi*n). - _Amiram Eldar_, Sep 05 2025 %e A114059 a(0) = C(3+2*0,0)*C(8+2*0,3+0) = C(3,0)*C(8,3) = 1*56 = 56. %e A114059 a(10) = C(3+2*10,10)*C(8+2*10,3+10) = C(23,10)*C(28,13) = 1144066*37442160 = 42836302222560. %t A114059 a[n_] := Binomial[3+2*n, n] * Binomial[8+2*n, 3+n]; Array[a, 20, 0] (* _Amiram Eldar_, Sep 05 2025 *) %o A114059 (PARI) a(n)={binomial(3+2*n, n) * binomial(8+2*n, 3+n)} \\ _Andrew Howroyd_, Jan 07 2020 %Y A114059 Cf. A062190. %K A114059 easy,nonn,changed %O A114059 0,1 %A A114059 _Zerinvary Lajos_, Feb 02 2006 %E A114059 Name edited and terms a(11) and beyond from _Andrew Howroyd_, Jan 07 2020