cp's OEIS Frontend

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.

A278770 Second series of Hankel determinants based on squares of Catalan numbers.

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%I A278770 #19 May 01 2018 17:37:59
%S A278770 1,4,159,81296,585396881,61994262028020,98925461617709743975,
%T A278770 2414583243140269424293854400,910504281815476426073145299359052745,
%U A278770 5341354769384557074743892800174971438265757284,489946515248844365403775650233194419858267427195735348151,705379807799940807283682167156246485805791300481296966713394135535056
%N A278770 Second series of Hankel determinants based on squares of Catalan numbers.
%C A278770 It would be useful to know the formula for this sequence.
%F A278770 Conjecture: lim n->infinity log(a(n))/n^2 = 2*log(2). - _Vaclav Kotesovec_, Nov 28 2016
%p A278770 a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)->
%p A278770         (t-> (binomial(2*t, t)/(t+1))^2)(i+j))):
%p A278770 seq(a(n), n=0..12);  # _Alois P. Heinz_, May 01 2018
%t A278770 Flatten[{1, Table[Det[Table[(CatalanNumber[i + j])^2, {i, n}, {j, n}]], {n, 11}]}]
%Y A278770 Cf. A000108, A277829.
%K A278770 nonn
%O A278770 0,2
%A A278770 _Karol A. Penson_, Nov 28 2016