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A129325
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Fourth column of PE^2.
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14
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0, 0, 0, 1, 8, 60, 440, 3290, 25424, 204120, 1705680, 14836470, 134240040, 1262060228, 12313382536, 124509169330, 1303109358880, 14098102762160, 157473907149600, 1813923418494126, 21523529286435000, 262809607270736540
(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^2; a(n)=A[n,4] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^2; 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: A129325 := proc(n) A078937(n+1, 3) ; end: seq(A129325(n), n=0..27) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2008
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PROG
| (PARI) m=matpascal(30)-matid(31); pe=matid(31)+sum(i=1, 30, m^i/i!); A=pe^2; A[, 4] - Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 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: A126640 A093132 A094169 * A001267 A099156 A199526
Adjacent sequences: A129322 A129323 A129324 * A129326 A129327 A129328
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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) and Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2008
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