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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

It would be useful to know the formula for this sequence.

LINKS

Table of n, a(n) for n=0..11.

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

Cf. A000108, A277829.

Sequence in context: A268007 A205305 A268047 * A264568 A224044 A224275

Adjacent sequences:  A278767 A278768 A278769 * A278771 A278772 A278773

KEYWORD

nonn

AUTHOR

Karol A. Penson, Nov 28 2016

STATUS

approved

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Last modified April 20 06:19 EDT 2019. Contains 322294 sequences. (Running on oeis4.)