OFFSET
0,5
COMMENTS
Inverse Stirling transform of A000085.
LINKS
N. J. A. Sloane, Transforms
FORMULA
a(n) = Sum_{k=0..n} Stirling1(n,k)*A000085(k).
MAPLE
seq(n!*coeff(series((1 + x)*exp(log(1 + x)^2/2), x=0, 24), x, n), n=0..23); # Paolo P. Lava, Jan 09 2019
MATHEMATICA
nmax = 23; CoefficientList[Series[(1 + x) Exp[Log[1 + x]^2/2], {x, 0, nmax}], x] Range[0, nmax]!
Table[Sum[StirlingS1[n, k] HypergeometricU[-k/2, 1/2, -1/2]/(-1/2)^(k/2), {k, 0, n}], {n, 0, 23}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Sep 17 2018
STATUS
approved