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 A295434 #12 Jul 11 2025 05:16:44
%S A295434 1,99,22287,5663700,1517599215,418974963099,117912668329092,
%T A295434 33631821857441592,9687910353619450095,2811928784155292169225,
%U A295434 821085376403131135219287,240930004359452293067067600,70981901511015157572343133700,20983636110818804086505029904100,6221192124050298514903984159997400
%N A295434 a(n) = (12*n)!*(3*n)!/((8*n)!*(6*n)!*n!).
%F A295434 G.f.: hypergeom([1/12, 1/3, 5/12, 7/12, 2/3, 11/12], [1/8, 3/8, 1/2, 5/8, 7/8], 19683/64*x).
%F A295434 a(n) ~ 3^(9*n + 1/2) / (2^(6*n + 3/2) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295434 Array[(12 #)!*(3 #)!/((8 #)!*(6 #)!*#!) &, 15, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t A295434 CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/3, 5/12, 7/12, 2/3, 11/12}, {1/8, 3/8, 1/2, 5/8, 7/8}, 19683/64 x], {x, 0, 14}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295434 Cf. A295431.
%K A295434 nonn
%O A295434 0,2
%A A295434 _Gheorghe Coserea_, Nov 23 2017