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 A303826 Hankel transform of A001246. 1
 1, 3, 99, 43881, 280974025, 26916213134875, 39339805703866118875, 887919033897631593738548625, 311967217568836709207331125906048625, 1715750319988362944273302140220635494624999475 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) is the determinant of the (n+1) X (n+1) matrix A defined by A[i,j] = A001246(i+j-2) for 1 <= i,j <= n+1. - Altug Alkan, May 01 2018 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..41 Wikipedia, Hankel matrix FORMULA a(n)^(1/n) ~ d * 4^n, where d = 0.263565... - Vaclav Kotesovec, May 06 2024 EXAMPLE a(2) = 99 because determinant of the following matrix is 99. [1 1 4] [1 4 25] [4 25 196] MAPLE a:= n-> LinearAlgebra[Determinant](Matrix(n+1, (i, j)-> (t-> (binomial(2*t, t)/(t+1))^2)(i+j-2))): seq(a(n), n=0..15); # Alois P. Heinz, May 01 2018 MATHEMATICA Table[Det[ Table[(CatalanNumber[i + j - 2])^2, {i, 1, n + 1}, {j, 1, n + 1}]], {n, 0, 10}] PROG (PARI) a(n) = matdet(matrix(n+1, n+1, i, j, (binomial(2*(i+j-2), (i+j-2))/(i+j-1))^2)); \\ Altug Alkan, May 01 2018 CROSSREFS Cf. A000108, A001246, A277829, A278770. Sequence in context: A276188 A180350 A293952 * A128296 A037114 A336437 Adjacent sequences: A303823 A303824 A303825 * A303827 A303828 A303829 KEYWORD nonn AUTHOR Karol A. Penson, May 01 2018 EXTENSIONS Name simplified by Andrey Zabolotskiy, May 02 2018 STATUS approved

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Last modified June 15 10:19 EDT 2024. Contains 373407 sequences. (Running on oeis4.)