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A013193
Expansion of e.g.f. log(sec(x) + log(x+1)).
0
0, 1, -1, 4, -15, 93, -633, 5381, -51506, 565957, -6922205, 93992413, -1398890284, 22689478823, -398141898399, 7519118564551, -152056970221072, 3278894568674073, -75103176871966409, 1821102601528126265
OFFSET
0,4
EXAMPLE
x - 1/2!*x^2 + 4/3!*x^3 - 15/4!*x^4 + 93/5!*x^5 ...
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Log[Sec[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 25 2023 *)
CROSSREFS
Sequence in context: A322920 A372730 A332533 * A040025 A366697 A208991
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0)=0 inserted and title improved by Sean A. Irvine, Aug 01 2018
STATUS
approved