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 A086619 #10 Oct 27 2017 11:54:45
%S A086619 1,2,10,150,7650,1438200,1051324200,3101406390000,37945707181650000,
%T A086619 1966422437567466300000,438887790263120370963300000,
%U A086619 427664112802721593716655529100000
%N A086619 Product of first n terms of the binomial transform of the Catalan numbers (A007317).
%H A086619 Vaclav Kotesovec, <a href="/A086619/b086619.txt">Table of n, a(n) for n = 0..56</a>
%F A086619 Determinant of the n X n matrix in the upper left corner of square table A086620.
%F A086619 a(n) ~ c * 5^(n*(n+4)/2) * exp(3*n/2) / (2^(3*n) * Pi^(n/2) * n^(3*n/2 + 27/16)), where c = 0.286457028871544332017553737430712054187435533562040177617845850168... - _Vaclav Kotesovec_, Oct 27 2017
%t A086619 Table[Product[Sum[Binomial[m, k]*Binomial[2*k, k]/(k+1), {k, 0, m}], {m, 0, n}], {n, 0, 12}] (* _Vaclav Kotesovec_, Oct 27 2017 *)
%t A086619 Table[Product[Hypergeometric2F1[1/2, -k, 2, -4], {k, 0, n}], {n, 0, 12}] (* _Vaclav Kotesovec_, Oct 27 2017 *)
%Y A086619 Cf. A007317, A003046, A086620.
%K A086619 nonn
%O A086619 0,2
%A A086619 _Paul D. Hanna_, Jul 24 2003