|
| |
|
|
A003704
|
|
Expansion of ln(1+sinh(x)).
(Formerly M2867)
|
|
2
|
|
|
|
0, 1, -1, 3, -10, 45, -256, 1743, -13840, 125625, -1282816, 14554683, -181649920, 2473184805, -36478744576, 579439207623, -9861412096000, 179018972217585, -3452931391553536, 70518070842040563, -1520176422094766080
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,4
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
Table of n, a(n) for n=0..20.
|
|
|
FORMULA
|
a(n)=sum(k=1..n, sum(i=0..k, (-1)^(n+i-1)*(k-2*i)^n *binomial(k,i)) /(k*2^k)). [From Vladimir Kruchinin, Apr 20 2011]
|
|
|
MATHEMATICA
|
Log[ 1+Sinh[ x ] ]
|
|
|
PROG
|
(Maxima)
a(n):=sum(sum((-1)^(n+i-1)*(k-2*i)^n*binomial(k, i), i, 0, k)/(k*2^k), k, 1, n);
[From Vladimir Kruchinin, Apr 20 2011]
|
|
|
CROSSREFS
|
Cf. A009344, A024293, A080795.
Sequence in context: A006220 A020026 A077002 * A000250 A118601 A005143
Adjacent sequences: A003701 A003702 A003703 * A003705 A003706 A003707
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
R. H. Hardin, Simon Plouffe
|
|
|
STATUS
|
approved
|
| |
|
|
