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A278770
Second series of Hankel determinants based on squares of Catalan numbers.
8
1, 4, 159, 81296, 585396881, 61994262028020, 98925461617709743975, 2414583243140269424293854400, 910504281815476426073145299359052745, 5341354769384557074743892800174971438265757284, 489946515248844365403775650233194419858267427195735348151, 705379807799940807283682167156246485805791300481296966713394135535056
OFFSET
0,2
COMMENTS
It would be useful to know the formula for this sequence.
FORMULA
Conjecture: lim n->infinity log(a(n))/n^2 = 2*log(2). - Vaclav Kotesovec, Nov 28 2016
MAPLE
a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)->
(t-> (binomial(2*t, t)/(t+1))^2)(i+j))):
seq(a(n), n=0..12); # Alois P. Heinz, May 01 2018
MATHEMATICA
Flatten[{1, Table[Det[Table[(CatalanNumber[i + j])^2, {i, n}, {j, n}]], {n, 11}]}]
CROSSREFS
Sequence in context: A268007 A205305 A268047 * A264568 A224044 A224275
KEYWORD
nonn
AUTHOR
Karol A. Penson, Nov 28 2016
STATUS
approved