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 A129325 Fourth column of PE^2. 14
 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; text; internal format)
 OFFSET 0,5 COMMENTS Base matrix is in A011971; second power is in A078937; third power is in A078938; fourth power is in A078939. LINKS 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] 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, May 30 2008 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 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 * A285391 A001267 A099156 Adjacent sequences:  A129322 A129323 A129324 * A129326 A129327 A129328 KEYWORD nonn,easy AUTHOR Gottfried Helms, Apr 08 2007 EXTENSIONS More terms from R. J. Mathar and Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2008 STATUS approved

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Last modified September 16 10:36 EDT 2019. Contains 327094 sequences. (Running on oeis4.)