OFFSET
0,3
LINKS
L. Comtet and M. Fiolet, Sur les dérivées successives d'une fonction implicite. C. R. Acad. Sci. Paris Ser. A 278 (1974), 249-251. MR0348055
EXAMPLE
The second derivative is -(tanh(x)/(x+1)^2) + 2*((1 - tanh(x)^2)/(x+1)) - 2*log(x+1)tanh(x)(1 - tanh(x)^2). At x = 0 this sets a(2) = 0 + 2 - 0 = 2.
MAPLE
n0:= 35: T:=array(1..n0): f:=x-> ln(1+x)*tanh(x):
for n from 1 to n0 do: T[n]:=D(f)(0):f:=D(f):od: print(T):
CROSSREFS
KEYWORD
sign
AUTHOR
Michel Lagneau, May 11 2010
EXTENSIONS
a(0) inserted and keyword:sign added by R. J. Mathar, May 14 2010
STATUS
approved