[seqfan] A012278

israel at math.ubc.ca israel at math.ubc.ca
Sun Feb 17 07:05:54 CET 2013

A012278 is entitled 
"arctanh(exp(x)*log(x+1))=x+1/2!*x^2+4/3!*x^3+12/4!*x^4+103/5!*x^5... ". 
Thus it should be the sequence whose egf is arctanh(exp(x)*log(x+1)). 
Except not quite: with an offset given as 0, it starts 1, 1, 4, 12, 103. I 
think either the offset should be 1 or the 0'th term should be 0, so that 
A012278[n] should be n! times the coefficient of the x^n term.

Robert Israel
University of British Columbia

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