|
| |
|
|
A191011
|
|
E.g.f. log(1 + sin(arctan(x))).
|
|
0
|
|
|
|
0, 1, -1, -1, 6, 9, -120, -225, 5040, 11025, -362880, -893025, 39916800, 108056025, -6227020800, -18261468225, 1307674368000, 4108830350625, -355687428096000, -1187451971330625, 121645100408832000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,5
|
|
|
LINKS
|
Table of n, a(n) for n=0..20.
|
|
|
FORMULA
|
a(n) = n!*sum(m=0..(n-1)/2, binomial((n-2)/2,m)*(-1)^(n-m-1)/(n-2*m)), n>0.
|
|
|
MATHEMATICA
|
With[{nn=30}, CoefficientList[Series[Log[1+Sin[ArcTan[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Sep 19 2011 *)
|
|
|
PROG
|
(Maxima)
a(n):=n!*sum(binomial((n-2)/2, m)*(-1)^(n-m-1)/(n-2*m), m, 0, (n-1)/2);
|
|
|
CROSSREFS
|
Sequence in context: A103107 A121233 A156180 * A351734 A053490 A265383
Adjacent sequences: A191008 A191009 A191010 * A191012 A191013 A191014
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
Vladimir Kruchinin, Jun 16 2011
|
|
|
STATUS
|
approved
|
| |
|
|
