This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A278770 Second series of Hankel determinants based on squares of Catalan numbers. 8

%I

%S 1,4,159,81296,585396881,61994262028020,98925461617709743975,

%T 2414583243140269424293854400,910504281815476426073145299359052745,

%U 5341354769384557074743892800174971438265757284,489946515248844365403775650233194419858267427195735348151,705379807799940807283682167156246485805791300481296966713394135535056

%N Second series of Hankel determinants based on squares of Catalan numbers.

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

%F Conjecture: lim n->infinity log(a(n))/n^2 = 2*log(2). - _Vaclav Kotesovec_, Nov 28 2016

%p a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)->

%p (t-> (binomial(2*t, t)/(t+1))^2)(i+j))):

%p seq(a(n), n=0..12); # _Alois P. Heinz_, May 01 2018

%t Flatten[{1, Table[Det[Table[(CatalanNumber[i + j])^2, {i, n}, {j, n}]], {n, 11}]}]

%Y Cf. A000108, A277829.

%K nonn

%O 0,2

%A _Karol A. Penson_, Nov 28 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 22 18:53 EDT 2019. Contains 323481 sequences. (Running on oeis4.)