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A317209
Coefficients arising from the Taylor series expansion of log(arcsin(x)/log(1+x)).
2
0, 0, 0, 0, 7, -13, 219, -598, 11570, -44280, 995254, -4960662, 126624718, -783821598, 22344623929, -166137700653, 5222279193717, -45502938763929, 1561364880901471, -15643758252397591, 581233980566953138, -6596831160162093686, 263618530870787131186, -3348367300606844944161
OFFSET
1,5
COMMENTS
a(n) is the truncation of (n! times the coefficient of x^n in the expansion of log(arcsin(x)/log(x+1))). ("Truncate" - this is Maple's definition - means "truncate a number to the next nearest integer towards 0".)
Computed by Sean A. Irvine, Aug 08 2018, in an attempt to explain the erroneous entry A013568.
LINKS
MAPLE
S:= series(log(arcsin(x)/log(1+x)), x, 31):
seq(trunc(coeff(S, x, n)*n!), n=1..30); # Robert Israel, Aug 10 2018
CROSSREFS
Cf. A013568.
Sequence in context: A210465 A181492 A243368 * A084963 A139188 A064119
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Aug 10 2018, based on a suggestion from Sean A. Irvine, Aug 08 2018
EXTENSIONS
More terms and corrected comment from Robert Israel, Aug 10 2018
STATUS
approved