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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.

Index entries for reversions of series

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.)