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Search: id:A129328
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| 0, 0, 1, 9, 72, 570, 4635, 39186, 345828, 3188268, 30684150, 307870365, 3215425554, 34899450768, 393015753039, 4585024011015, 55332235452960, 689799432341928, 8871905851132041, 117581467377389310, 1603990651356920730
(list; graph; listen)
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OFFSET
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0,4
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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,3 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,3]
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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: A129328 := proc(n) A078938(n+1, 2) ; end: seq(A129328(n), n=0..27) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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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: A057085 A076765 A006634 this_sequence A003951 A033135 A127053
Adjacent sequences: A129325 A129326 A129327 this_sequence A129329 A129330 A129331
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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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