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A129331
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Second column of PE^4.
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14
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0, 1, 8, 60, 464, 3780, 32568, 296492, 2845088, 28695060, 303334920, 3351877628, 38622668400, 463036981732, 5764038605528, 74365952622540, 992720923710272, 13690497077256628, 194777994524434344, 2855149354656290716
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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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,2 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^4; a(n)=A[ n,2]
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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: A129331 := proc(n) A078939(n+1, 1) ; end: seq(A129331(n), n=0..25) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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MATHEMATICA
| Table[Sum[BellB[n, 4], {i, 0, n}], {n, -1, 18}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2009]
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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: A001267 A099156 A199526 * A005990 A160228 A099337
Adjacent sequences: A129328 A129329 A129330 * A129332 A129333 A129334
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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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