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A292935
Expansion of e.g.f.: exp(exp(-x) - 1).
5
1, -1, 2, -5, 15, -52, 203, -877, 4140, -21147, 115975, -678570, 4213597, -27644437, 190899322, -1382958545, 10480142147, -82864869804, 682076806159, -5832742205057, 51724158235372, -474869816156751, 4506715738447323, -44152005855084346, 445958869294805289, -4638590332229999353, 49631246523618756274
OFFSET
0,3
LINKS
FORMULA
a(n) = (-1)^n * A000110(n).
G.f.: Sum_{k>=0} (-x)^k / Product_{j=1..k} (1 + j*x). - Ilya Gutkovskiy, Dec 14 2019
MATHEMATICA
Table[(-1)^n*BellB[n], {n, 0, 40}] (* G. C. Greubel, Jan 05 2026 *)
PROG
(PARI) my(x='x+O('x^40)); Vec(serlaplace(exp(exp(-x)-1)))
(Magma)
A292935:= func< n | (-1)^n*Bell(n) >;
[A292935(n): n in [0..40]]; // G. C. Greubel, Jan 05 2026
(SageMath)
def A292935(n): return (-1)^n*bell_number(n) # G. C. Greubel, Jan 05 2026
CROSSREFS
Column k=0 of A292948.
Cf. A000110.
Sequence in context: A203645 A203646 A000110 * A336022 A303924 A336021
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 27 2017
STATUS
approved