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Search: id:A129327
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| A129327 |
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Second column of PE^3. |
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+0
14
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| 0, 1, 6, 36, 228, 1545, 11196, 86457, 708504, 6136830, 55976430, 535904259, 5369146272, 56145107577, 611336534802, 6916529431620, 81152874393168, 985767316792449, 12376996566040980, 160399065135692073
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Base matrix in A011971 Second power in A078937 Third power in A078938 Fourth power in A078939
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FORMULA
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PE=exp(matpascal(5))/exp(1); A = PE^3; a(n)= A[ n,2 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,2]
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MAPLE
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A056857 := proc(n, c) combinat[bell](n-1-c)*binomial(n-1, c) ; end: A078937 := proc(n, c) add( A056857(n, k)*A056857(k+1, c), k=0..n) ; end: A078938 := proc(n, c) add( A078937(n, k)*A056857(k+1, c), k=0..n) ; end: A129327 := proc(n) A078938(n+1, 1) ; end: seq(A129327(n), n=0..27) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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MATHEMATICA
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Table[Sum[BellB[n, 3], {i, 0, n}], {n, -1, 18}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2009]
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CROSSREFS
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Cf. A056857, A078937, A078938, A078944, A078945, A000110.
Cf. A078937, A078938, A129323, A129324, A129325, A027710.
Cf. A129327, A129328, A129329, A078944, A129331, A129332, A129333.
Sequence in context: A129324 A166748 A085687 this_sequence A144819 A099252 A057395
Adjacent sequences: A129324 A129325 A129326 this_sequence A129328 A129329 A129330
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KEYWORD
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nonn,easy
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AUTHOR
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Gottfried Helms (helms(AT)uni-kassel.de), Apr 08 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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