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Search: id:A097476
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| A097476 |
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a(n)=prod(i=0,n-1,((2i)!)^2). |
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+0
1
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| 1, 4, 2304, 1194393600, 1941728542064640000, 25569049282962188245401600000000, 5866627428836325123819714259080708096000000000000
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OFFSET
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1,2
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COMMENT
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a(n) = determinant of n X n matrix m(i,j)=E(2i+2j), 0<=i,j<=n-1, where E(2k) is the (2k)-th signless Euler number in 1/cos(z)=sum(k>=0,E(2k)*z^(2k)/(2k)!)
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REFERENCES
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C. Krattenthaler, Advanced Determinant Calculus, p. 46
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LINKS
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C. Krattenthaler, Advanced Determinant Calculus.
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PROGRAM
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(PARI) a(n)=prod(i=0, n-1, ((2*i)!)^2)
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CROSSREFS
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Sequence in context: A024060 A004815 A062407 this_sequence A047676 A079187 A131587
Adjacent sequences: A097473 A097474 A097475 this_sequence A097477 A097478 A097479
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 18 2004
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