|
| |
|
|
A112805
|
|
Expansion of solution of functional equation.
|
|
0
|
|
|
|
1, 1, 1, 1, 1, 2, 5, 11, 21, 37, 66, 127, 261, 545, 1119, 2255, 4529, 9202, 18989, 39566, 82614, 172272, 359159, 750699, 1575649, 3319942, 7012833, 14834345, 31414423, 66619692, 141526459, 301202699, 642055773, 1370429491, 2928418794
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,6
|
|
|
LINKS
|
Table of n, a(n) for n=1..35.
|
|
|
FORMULA
|
G.f. A(x)=y satisfies y=x+(xy)/(1-(xy)^2).
Series reversion of g.f. A(x) is -A(-x).
|
|
|
PROG
|
(PARI) {a(n)=local(A); if(n<1, 0, A=x+O(x^2); for(k=1, n, A=x+subst(x/(1-x^2), x, x*A)); polcoeff(A, n))}
|
|
|
CROSSREFS
|
Sequence in context: A103198 A183929 A003522 * A119970 A326509 A082775
Adjacent sequences: A112802 A112803 A112804 * A112806 A112807 A112808
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Michael Somos, Sep 20 2005
|
|
|
STATUS
|
approved
|
| |
|
|
