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A192557
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a(n) = sum(stirling2(n,k)*stirling2(n+1,k+1)*k!,k=0..n).
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0
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1, 1, 5, 49, 749, 16201, 464645, 16911049, 756570029, 40608430681, 2565613446725, 187881747426649, 15746365790443469, 1494340848159224521, 159129983959516664645, 18866500386049170199849, 2473489038963025307690669, 356458089674089695970723321
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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Table[Sum[StirlingS2[n, k]StirlingS2[n+1, k+1]k!, {k, 0, n}], {n, 0, 100}]
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PROG
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(Maxima) makelist(sum(stirling2(n, k)*stirling2(n+1, k+1)*k!, k, 0, n), n, 0, 24);
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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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