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 A129332 Third column of PE^4. 14
 0, 0, 1, 12, 120, 1160, 11340, 113988, 1185968, 12802896, 143475300, 1668342060, 20111265768, 251047344600, 3241258872124, 43230289541460, 594927620980320, 8438127851537312, 123214473695309652, 1850390947982126268 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 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^4; a(n)= A[ n,3 ] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^4; a(n)=A[ n,3] 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: A129332 := proc(n) A078939(n+1, 2) ; end: seq(A129332(n), n=0..25) ; # R. J. Mathar, May 30 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: A004332 A129329 A266393 * A004291 A001754 A037511 Adjacent sequences:  A129329 A129330 A129331 * A129333 A129334 A129335 KEYWORD nonn,easy AUTHOR Gottfried Helms, Apr 08 2007 EXTENSIONS More terms from R. J. Mathar, May 30 2008 STATUS approved

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Last modified August 22 21:31 EDT 2019. Contains 326209 sequences. (Running on oeis4.)