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 A295435 #12 Jul 11 2025 05:17:15 %S A295435 1,1386,6374082,33660501840,188276393811330,1087036407409838886, %T A295435 6403774152656100209808,38253942248288803868931624, %U A295435 230861076790453965336241603458,1404158783195280855598258861670940,8593283348445510533260633624776561582,52853021730805678055150543201466838900800 %N A295435 a(n) = (12*n)!*(3*n)!/((6*n)!*(5*n)!*(4*n)!). %F A295435 G.f.: hypergeom([1/12, 1/3, 5/12, 7/12, 2/3, 11/12], [1/5, 2/5, 1/2, 3/5, 4/5], 20155392/3125*x). %F A295435 a(n) ~ 2^(10*n-1) * 3^(9*n + 1/2) / (5^(5*n + 1/2) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025 %t A295435 Array[(12 #)!*(3 #)!/((6 #)!*(5 #)!*(4 #)!) &, 12, 0] (* _Michael De Vlieger_, Nov 23 2017 *) %t A295435 CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/3, 5/12, 7/12, 2/3, 11/12}, {1/5, 2/5, 1/2, 3/5, 4/5}, 20155392/3125 x], {x, 0, 11}], x] (* _Robert G. Wilson v_, Nov 23 2017 *) %Y A295435 Cf. A295431. %K A295435 nonn %O A295435 0,2 %A A295435 _Gheorghe Coserea_, Nov 23 2017