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Search: id:A129329
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| A129329 |
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Fourth column of PE^3. |
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+0
14
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| 0, 0, 0, 1, 12, 120, 1140, 10815, 104496, 1037484, 10627560, 112508550, 1231481460, 13933510734, 162864103584, 1965078765195, 24453461392080, 313549334233440, 4138796594051568, 56188737057169593, 783876449182595400
(list; graph; listen)
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OFFSET
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0,5
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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,4 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^3; a(n)=A[ n,4]
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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: A129329 := proc(n) A078938(n+1, 3) ; end: seq(A129329(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: A008465 A115902 A004332 this_sequence A129332 A004291 A001754
Adjacent sequences: A129326 A129327 A129328 this_sequence A129330 A129331 A129332
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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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