|
| |
|
|
A009340
|
|
E.g.f. log(1+sin(x)*exp(x)).
|
|
0
| |
|
|
0, 1, 1, -2, -2, 20, -24, -352, 1968, 5840, -126944, 278848, 8284288, -76872640, -400462464, 12744251648, -38515617792, -1843130033920, 23434765820416, 182086013314048, -7427539628214272, 27218422422656000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
FORMULA
| a(n)=2*sum(k=1..n, sum(j=0..(n-k)/2, binomial(n,n-k-2*j)*(k^(n-k-2*j)*sum(i=0..k/2, (2*i-k)^(k+2*j)*binomial(k,i)*(-1)^(j-i+1))))/(2^k*k)). [From Vladimir Kruchinin, Jun 13 2011]
|
|
|
PROG
| (Maxima)
a(n):=2*sum(sum(binomial(n, n-k-2*j)*(k^(n-k-2*j)*sum((2*i-k)^(k+2*j)*binomial(k, i)*(-1)^(j-i+1), i, 0, k/2)), j, 0, (n-k)/2)/(2^k*k), k, 1, n); [From Vladimir Kruchinin, Jun 13 2011]
|
|
|
CROSSREFS
| Sequence in context: A172194 A093777 A103129 * A053593 A002907 A184717
Adjacent sequences: A009337 A009338 A009339 * A009341 A009342 A009343
|
|
|
KEYWORD
| sign,easy
|
|
|
AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
|
|
|
EXTENSIONS
| Extended with signs Mar 15 1997 by Olivier Gerard.
|
| |
|
|
