|
|
A013323
|
|
Numerator of [x^n] in the Taylor series arccosh(exp(x)-arcsinh(x))= x+x^2/3 -x^3/18 -14*x^4/135 +47*x^5/3240 +3527*x^6/68040 -4787*x^7/680400-...
|
|
0
|
|
|
1, 1, -1, -14, 47, 3527, -4787, -6421, 11467, 523798423, -3983516101, -1424955853, 1543134469573, 2574843844561, -116899300585349, -130778050341326449, 86229762965796109, 597078237074537664671
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
COMMENTS
|
The inner function has the e.g.f. exp(x)-arcsinh(x) = 1 +0*x/1!+1*x^2/2! +2*x^3/3! +1*x^4/4! -8*x^5/5! +1*x^6/6! +226*x^7/7! +1*x^8/8! -11024*x^9/9! +...
|
|
LINKS
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
EXTENSIONS
|
Values replaced by numerators. - R. J. Mathar, Dec 22 2011
|
|
STATUS
|
approved
|
|
|
|