|
|
A156036
|
|
Numerators in expansion of log(z^2/(cosh(z)-cos(z))).
|
|
3
|
|
|
0, -1, 1, -691, 3617, -174611, 236364091, -3392780147, 7709321041217, -26315271553053477373, 261082718496449122051, -2530297234481911294093, 5609403368997817686249127547, -61628132164268458257532691681, 354198989901889536240773677094747, -1215233140483755572040304994079820246041491
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
REFERENCES
|
V. Mangulis, Handbook of Series, Academic Press, 1965, p. 76.
|
|
LINKS
|
|
|
FORMULA
|
log(z^2/(cosh(z)-cos(z))) = Sum_{ n >= 1 } (-1)^n*B_{2n}*(2z^2)^(2n)/((4n)!2n).
|
|
EXAMPLE
|
log(z^2/(cosh(z)-cos(z))) = -(1/360)*z^4+(1/302400)*z^8-(691/122594472000)*z^12+(3617/333456963840000)*z^16+...
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|