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 A295444 #9 Jul 11 2025 05:20:41
%S A295444 1,110,28842,8558480,2679559018,864609808860,284430822189360,
%T A295444 94838361498813504,31937586416482122090,10837486229625098253938,
%U A295444 3699768692414430886979092,1269247320827841357100956000,437197260018920565848972207920,151108564566619626342188272922000,52379783376231201890753924949502656,18202391389394546898846524075693898480
%N A295444 a(n) = (12*n)!*(2*n)!/((9*n)!*(4*n)!*n!).
%F A295444 G.f.: hypergeom([1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], [1/9, 2/9, 4/9, 5/9, 7/9, 8/9], 262144/729*x).
%F A295444 a(n) ~ 2^(18*n) / (3^(6*n + 1/2) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295444 f[n_] := (12n)! (2n)!/((9n)! (4n)! n!); Array[f, 14, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12}, {1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, 262144/729 x], {x, 0, 13}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295444 Cf. A295431.
%K A295444 nonn
%O A295444 0,2
%A A295444 _Gheorghe Coserea_, Nov 23 2017