

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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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



