|
| |
|
|
A009633
|
|
E.g.f. tan(cos(x)*x) (odd powers only)
|
|
0
| |
|
|
1, -1, -39, 55, 39697, -2289, -235548247, -1367615353, 4617417380769, 85802560805023, -226896487004217095, -9332987296855749801, 23509703520941274769841, 1792438008018628579394735
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| a(n)=sum(k=0..n, binomial(2*n+1,2*k+1)*(sum(i=0..k,(2*k+1-2*i)^(2*n-2*k)*binomial(2*k+1,i)))*(sum(j=1..2*k+1, j!*2^(1-j)*(-1)^(n+1+j)*stirling2(2*k+1,j)))). [From Vladimir Kruchinin, Jun 18 2011]
|
|
|
PROG
| (Maxima)
a(n):=sum(binomial(2*n+1, 2*k+1)*(sum((2*k+1-2*i)^(2*n-2*k)*binomial(2*k+1, i), i, 0, k))*(sum(j!*2^(1-j)*(-1)^(n+1+j)*stirling2(2*k+1, j), j, 1, 2*k+1)), k, 0, n); [From Vladimir Kruchinin, Jun 18 2011]
|
|
|
CROSSREFS
| Sequence in context: A013658 A165346 A063480 * A156333 A116281 A168530
Adjacent sequences: A009630 A009631 A009632 * A009634 A009635 A009636
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
|
|
|
EXTENSIONS
| Extended with signs Mar 15 1997 by Olivier Gerard.
|
| |
|
|
