|
| |
|
|
A162415
|
|
L.g.f.: Sum_{n>=1} a(n)*x^n/n = log( Sum_{n>=0} x^(2^n-1) ).
|
|
1
| |
|
|
1, -1, 4, -5, 6, -10, 22, -29, 40, -66, 100, -146, 222, -344, 534, -797, 1208, -1846, 2794, -4230, 6430, -9780, 14836, -22514, 34206, -51936, 78826, -119684, 181744, -275940, 418966, -636125, 965848, -1466438, 2226482, -3380510, 5132678
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
EXAMPLE
| G.f.: L(x) = x - x^2/2 + 4*x^3/3 - 5*x^4/4 + 6*x^5/5 - 10*x^6/6 +-...
where L(x) = log(1 + x + x^3 + x^7 + x^15 + x^31 +...+ x^(2^n-1) +...).
|
|
|
PROG
| (PARI) {a(n)=local(L=log(sum(m=0, #binary(n), x^(2^m-1))+x*O(x^n))); n*polcoeff(L, n)}
|
|
|
CROSSREFS
| Cf. A162416.
Sequence in context: A001609 A101590 A057916 * A007606 A047311 A076138
Adjacent sequences: A162412 A162413 A162414 * A162416 A162417 A162418
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jul 02 2009
|
| |
|
|
