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A129333
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Fourth column of PE^4.
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14
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0, 0, 0, 1, 16, 200, 2320, 26460, 303968, 3557904, 42676320, 526076100, 6673368240, 87148818328, 1171554274800, 16206294360620, 230561544221120, 3371256518888480, 50628767109223872, 780358333403627796
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Base matrix in A011971 Second power in A078937 Third power in A078938 Fourth power in A078939
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FORMULA
| PE=exp(matpascal(5))/exp(1); A = PE^4; a(n)= A[ n,4 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^4; a(n)=A[ n,4]
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MAPLE
| 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: A078939 := proc(n, c) add( A078938(n, k)*A056857(k+1, c), k=0..n) ; end: A129333 := proc(n) A078939(n+1, 3) ; end: seq(A129333(n), n=0..25) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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CROSSREFS
| 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: A154249 A125451 A154348 * A001810 A016165 A144632
Adjacent sequences: A129330 A129331 A129332 * A129334 A129335 A129336
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KEYWORD
| nonn,easy
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AUTHOR
| Gottfried Helms (helms(AT)uni-kassel.de), Apr 08 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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