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A319173
Expansion of e.g.f. 1/(1 + x/(1 + (x^2/2!)/(1 + (x^3/3!)/(1 + (x^4/4!)/(1 + ...))))), a continued fraction.
0
1, -1, 2, -3, 0, 30, -240, 1470, -6720, 12600, 214200, -4019400, 45460800, -378378000, 1727926200, 16358542200, -608230022400, 10777315348800, -137136749349600, 1088994283977600, 4431653341315200, -412892994284971200, 10654104643073892000, -189834731018203471200
OFFSET
0,3
MATHEMATICA
nmax = 23; CoefficientList[Series[1/(1 + ContinuedFractionK[x^k/k!, 1, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Sep 12 2018
STATUS
approved