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 A059372 Revert transform of factorials. 3
 1, -2, 2, -4, -4, -48, -336, -2928, -28144, -298528, -3454432, -43286528, -583835648, -8433987584, -129941213184, -2127349165824, -36889047574272, -675548628690432, -13030733384956416, -264111424634864640 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS First diagonal of triangle in A059370. REFERENCES L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 171, #34. LINKS T. D. Noe and Vaclav Kotesovec, Table of n, a(n) for n = 1..400 (first 100 terms from T. D. Noe) M. H. Albert, M. D. Atkinson and M. Klazar, The Enumeration of Simple Permutations, J. Integer Seqs., Vol. 6, 2003. E. Deutsch and B. E. Sagan, Congruences for Catalan and Motzkin numbers and related sequences, J. Num. Theory 117 (2006), 191-215. FORMULA a(n) ~ -exp(-2) * n! * (1 - 4/n + 2/n^2 - 34/(3*n^3) - 296/(3*n^4) - 4818/(5*n^5) - 508532/(45*n^6)). - Vaclav Kotesovec, Aug 04 2015 MATHEMATICA nmax = 20; t[n_, k_] := t[n, k] = Sum[(m + 1)!*t[n - m - 1, k - 1], {m, 0, n - k}]; t[n_, 1] = n!; t[n_, n_] = 1; tnk = Table[t[n, k], {n, 1, nmax}, {k, 1, nmax}]; Inverse[tnk][[All, 1]] (* Jean-François Alcover, Jul 13 2016 *) CROSSREFS Cf. A059370. Sequence in context: A286737 A025557 A285909 * A161422 A049261 A135018 Adjacent sequences:  A059369 A059370 A059371 * A059373 A059374 A059375 KEYWORD sign,easy AUTHOR N. J. A. Sloane, Jan 28 2001 EXTENSIONS More terms from Vladeta Jovovic, Mar 05 2001 STATUS approved

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Last modified November 13 13:15 EST 2018. Contains 317149 sequences. (Running on oeis4.)