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A368772
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a(n) = (n!)^3 * Sum_{k=0..n} (k/k!)^3.
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3
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0, 1, 16, 459, 29440, 3680125, 794907216, 272653175431, 139598425821184, 101767252423643865, 101767252423643866000, 135452212975869985647331, 234061424022303335198589696, 514232948577000427431301564309, 1411055210895289172871491492466640
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0) = 0; a(n) = n^3 * a(n-1) + n^3.
a(n) = n^3 * A217284(n-1) for n > 0.
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PROG
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(PARI) a(n) = n!^3*sum(k=0, n, (k/k!)^3);
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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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