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A280654
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a(n) = (n!)^2 * Sum_{k=1..n} A008836(k)/k^2.
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2
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1, 3, 23, 404, 9524, 357264, 16987536, 1061800704, 87631559424, 8894837836800, 1063107188812800, 151494084266803200, 25373057708287180800, 5011895098867920076800, 1135276451701834014720000, 292340783888393707192320000, 84048723407048386326036480000
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OFFSET
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1,2
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LINKS
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FORMULA
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Limit_{n->infinity} a(n)/(n!)^2 = zeta(4)/zeta(2) = Pi^2/15.
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MATHEMATICA
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Table[(n!)^2 * Sum[(-1)^PrimeOmega[k]/k^2, {k, n}], {n, 20}] (* Indranil Ghosh, Apr 13 2017 *)
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PROG
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(PARI) a(n) = (n!)^2 * sum(k=1, n, (-1)^bigomega(k)/k^2);
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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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