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A009566 Expansion of e.g.f. sinh(log(1+log(1+x))). 2
0, 1, -2, 8, -47, 359, -3349, 36756, -462972, 6574704, -103861896, 1805930928, -34267701720, 704555489832, -15601914340440, 370195510608192, -9369769657984128, 251979258929744448, -7175127496412091456 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) ~ n! * (-1)^(n+1) * exp(n) / (2 * (exp(1)-1)^(n+1)). - Vaclav Kotesovec, Jan 23 2015
MATHEMATICA
CoefficientList[Series[(Log[1 + x]*(2 + Log[1 + x]))/(2*(1 + Log[1 + x]) ), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)
With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 21 2018 *)
PROG
(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+log(1+x)))))) \\ G. C. Greubel, Jan 21 2018
CROSSREFS
Sequence in context: A135904 A145846 A317366 * A349588 A259905 A329096
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)