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 A295469 #7 Jul 27 2022 09:23:44 %S A295469 1,8398,194588550,5100249334348,141026130105441350, %T A295469 4018577033905015730148,116743212747975158088926364, %U A295469 3437433902477818949422435085400,102221680117258170626629637553328710,3063070065565412402561157982751304224500,92339640658637142866394391974518333925957300 %N A295469 a(n) = (20*n)!*(3*n)!/((12*n)!*(10*n)!*n!). %F A295469 G.f.: hypergeom([1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20], [1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], 625000000/19683*x). %F A295469 D-finite with recurrence +27*n*(12*n-11)*(12*n-1)*(6*n-1)*(12*n-5)*(2*n-1)*(12*n-7)*(6*n-5)*a(n) -50*(20*n-11)*(20*n-9)*(20*n-7)*(20*n-3)*(20*n-1)*(20*n-19)*(20*n-17)*(20*n-13)*a(n-1)=0. - _R. J. Mathar_, Jul 27 2022 %p A295469 A295469 := proc(n) %p A295469 (20*n)!*(3*n)!/((12*n)!*(10*n)!*n!) ; %p A295469 end proc: %p A295469 seq(A295469(n),n=0..43) ; # _R. J. Mathar_, Jul 27 2022 %Y A295469 Cf. A295431. %K A295469 nonn %O A295469 0,2 %A A295469 _Gheorghe Coserea_, Nov 28 2017