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 A277829 #39 May 01 2018 17:35:06 %S A277829 1,1,9,1035,1686931,40768984675,14961837668926225, %T A277829 84566159505295329041875,7428544024130633312561150929275, %U A277829 10204389867956705680354458767618278532475,220168039594282987862502167563496178988004727093379,74853381374809235976722939648065921771360016655877341808897465 %N A277829 First Series of Hankel determinants based on squares of Catalan numbers. %C A277829 It would be very useful to have the formula for this sequence. %H A277829 Alois P. Heinz, <a href="/A277829/b277829.txt">Table of n, a(n) for n = 0..41</a> %F A277829 Conjecture: lim n->infinity log(a(n))/n^2 = 2*log(2). - _Vaclav Kotesovec_, Nov 29 2016 %p A277829 a:= n-> LinearAlgebra[Determinant](Matrix(n, (i, j)-> %p A277829 (t-> (binomial(2*t, t)/(t+1))^2)(i+j-1))): %p A277829 seq(a(n), n=0..15); # _Alois P. Heinz_, Nov 28 2016 %t A277829 Flatten[{1, Table[Det[Table[(CatalanNumber[i + j - 1])^2, {i, n}, {j, n}]], {n, %t A277829 11}]}] %Y A277829 Cf. A000108, A278770. %K A277829 nonn %O A277829 0,3 %A A277829 _Karol A. Penson_, Nov 27 2016 %E A277829 a(0)=1 prepended by _Alois P. Heinz_, Nov 27 2016