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A368023
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a(n) is the permanent of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+5) with i,j = 0, ..., n-1.
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7
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1, 42, 35442, 499114473, 111384708171022, 386735380538157813864, 20749829798295730016646982120, 17168067359133726591295713796489415774, 219043020447199737063468653002456184101044391781, 43136143328071407602633546712654262446417322619276001391870
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OFFSET
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0,2
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LINKS
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FORMULA
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EXAMPLE
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a(4) = 111384708171022:
42, 132, 429, 1430;
132, 429, 1430, 4862;
429, 1430, 4862, 16796;
1430, 4862, 16796, 58786.
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MATHEMATICA
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Join[{1}, Table[Permanent[Table[CatalanNumber[i+j+5], {i, 0, n-1}, {j, 0, n-1}]], {n, 10}]]
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PROG
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(PARI) C(n) = binomial(2*n, n)/(n+1); \\ A000108
a(n) = matpermanent(matrix(n, n, i, j, C(i+j+3))); \\ Michel Marcus, Dec 11 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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