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A345646
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a(n) = Sum_{k=0..n} (4*n)! / (k! * (n-k)!)^4.
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2
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1, 48, 45360, 60614400, 114144030000, 249344297250048, 609148118181867264, 1604207350254328934400, 4471935609925802450718000, 13022708340511827298941600000, 39267738740263529465273799855360, 121811974529188978353365962361671680, 386880842128109815466159332537704902400
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OFFSET
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0,2
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COMMENTS
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In general, for fixed m >= 1, Sum_{k=0..n} (m*n)! / (k!*(n-k)!)^m ~ (2*m)^(m*n) / (Pi*n)^(m-1).
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LINKS
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FORMULA
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a(n) ~ 2^(12*n) / (Pi*n)^3.
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MATHEMATICA
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Table[Sum[(4*n)! / (k! * (n-k)!)^4, {k, 0, n}], {n, 0, 15}]
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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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