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A303826
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Hankel transform of A001246.
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0
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1, 3, 99, 43881, 280974025, 26916213134875, 39339805703866118875, 887919033897631593738548625, 311967217568836709207331125906048625, 1715750319988362944273302140220635494624999475
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OFFSET
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0,2
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COMMENTS
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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
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LINKS
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EXAMPLE
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a(2) = 99 because determinant of the following matrix is 99.
[1 1 4]
[1 4 25]
[4 25 196]
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MAPLE
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a:= n-> LinearAlgebra[Determinant](Matrix(n+1, (i, j)->
(t-> (binomial(2*t, t)/(t+1))^2)(i+j-2))):
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MATHEMATICA
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Table[Det[
Table[(CatalanNumber[i + j - 2])^2, {i, 1, n + 1}, {j, 1, n + 1}]], {n,
0, 10}]
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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