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A195462
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1!*2!*3!*...*n!*H(n); H(n) the n-th harmonic number.
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1
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1, 3, 22, 600, 78912, 60963840, 325173657600, 13743074967552000, 5190968541142056960000, 19502847300506769948672000000, 802654006697267902579055001600000000, 395082050396018659026474786525020160000000000
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OFFSET
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1,2
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COMMENTS
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Determinant of the n x n - Matrix A[i,j] with A[1,j]=1 (1<=j<=n) and A[i,j]=j^i (i>1, 1<=j<=n) [L. Theisinger].
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REFERENCES
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L. Theisinger, Bemerkung über die harmonische Reihe. Monatshefte für Mathematik und Physik XXVI. Jahrgang (1915), 132-134.
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LINKS
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FORMULA
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EXAMPLE
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a(4) = 1!*2!*3!*4!*H(4) = 1*2*6*24*(25/12) = 600.
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MAPLE
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a:= n-> mul(j^(n-j+1), j=2..n) * add(1/k, k=1..n):
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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