A317209 Coefficients arising from the Taylor series expansion of log(arcsin(x)/log(1+x)).

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

Robert Israel, Table of n, a(n) for n = 1..450

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

Adjacent sequences: A317206 A317207 A317208 * A317210 A317211 A317212

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