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A280100
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a(n) = 4^(2*n) * (n!)^3 * (n+1)!.
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2
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1, 32, 12288, 21233664, 108716359680, 1304596316160000, 31560794080542720000, 1385645103312147578880000, 102160842176998016695664640000, 11916040631525048667382323609600000, 2097223151148408565459288955289600000000
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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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a(n) ~ Pi^2 * 2^(4*n+2) / exp(4*n+1) * n^(3*n+3/2) * (n+1)^(n+3/2).
Lim_{n->infinity} a(n) / ((2n+1)!)^2 = Pi/4.
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PROG
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(PARI) a(n) = 4^(2*n) * (n!)^3 * (n+1)!;
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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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