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 A129323 Second column of PE^2. 14
 0, 1, 4, 18, 88, 470, 2724, 17010, 113712, 809262, 6101820, 48540778, 405935688, 3557404838, 32577733972, 310987560930, 3087723669600, 31823217868318, 339845199259500, 3754422961010522, 42843681016834680, 504339820818380694 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 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,2] with exact integer arithmetic: PE=exp(matpascal(5)-matid(6)); A = PE^2; a(n)=A[n,2] 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: A129323 := proc(n) A078937(n+1, 1) ; end: seq(A129323(n), n=0..23) ; # R. J. Mathar, May 30 2008 MATHEMATICA Table[Sum[BellB[n, 2], {i, 0, n}], {n, -1, 20}] (* Zerinvary Lajos, Jul 16 2009 *) 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: A068764 A127394 A046984 * A000305 A200029 A020070 Adjacent sequences:  A129320 A129321 A129322 * A129324 A129325 A129326 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 January 20 21:36 EST 2019. Contains 319336 sequences. (Running on oeis4.)