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Search: id:A135749
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| A135749 |
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a(n) = Sum_{k=0..n} C(n,k)*(n-k)^k*k^k. |
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+0
1
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| 1, 1, 3, 19, 217, 3821, 95761, 3214975, 137501505, 7226764921, 455941716481, 33983083953611, 2954163633223969, 296027886705639973, 33823026186790043841, 4363561123325076879991, 630392564294402819207041
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OFFSET
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0,3
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FORMULA
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a(n) = n!*[x^n] Sum_{k=0..n} exp((n-k)*x)^k * x^k/k!.
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PROGRAM
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(PARI) {a(n)=sum(k=0, n, binomial(n, k)*(n-k)^k*k^k)} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp((n-k)*k*x +x*O(x^n))*x^k/k!), n)}
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CROSSREFS
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Sequence in context: A000275 A058165 A074707 this_sequence A005647 A001833 A001035
Adjacent sequences: A135746 A135747 A135748 this_sequence A135750 A135751 A135752
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
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