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A009577 Expansion of e.g.f. sinh(log(1+x))/cosh(x). 1
0, 1, -1, 0, -6, 55, -255, 1358, -12572, 125613, -1193805, 12576124, -154247874, 2040358307, -28319064683, 421795555530, -6772652206200, 115464743211865, -2075398476455385, 39386878338818936, -788194493914712510 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
FORMULA
a(n) ~ n! * (-1)^(n+1) / (2*cosh(1)). - Vaclav Kotesovec, Jan 23 2015
MATHEMATICA
CoefficientList[Series[(x*(2 + x)*Sech[x])/(2*(1 + x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)
With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]]/Cosh[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+x))/cosh(x)) )) \\ G. C. Greubel, Jan 21 2018
CROSSREFS
Sequence in context: A061792 A066514 A281075 * A097300 A295094 A295548
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved

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Last modified May 22 10:24 EDT 2024. Contains 372745 sequences. (Running on oeis4.)