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A330150 Expansion of e.g.f. exp(-x) / (1 - log(1 + x)). 1
1, 0, 0, 1, -1, 8, -16, 159, -659, 6824, -46680, 517581, -4941685, 61043344, -735256328, 10269016939, -147207286503, 2322683458544, -38298239486672, 677630804946393, -12581447014620585, 247342217288517496, -5096876494438056928, 110338442309322274295 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Inverse binomial transform of A006252.

LINKS

Table of n, a(n) for n=0..23.

FORMULA

a(n) = Sum_{k=0..n} (-1)^(n - k) * binomial(n,k) * A006252(k).

MATHEMATICA

nmax = 23; CoefficientList[Series[Exp[-x]/(1 - Log[1 + x]), {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A006252, A052841, A291981, A330149.

Sequence in context: A328127 A323385 A061359 * A340586 A005445 A322342

Adjacent sequences:  A330147 A330148 A330149 * A330151 A330152 A330153

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Dec 03 2019

STATUS

approved

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Last modified January 20 12:55 EST 2022. Contains 350472 sequences. (Running on oeis4.)