OFFSET
1,4
COMMENTS
Compositional transpose of A206721.
EXAMPLE
G.f.: A(x) = x + x^2 + x^3 + 2*x^4 + 3*x^5 + 5*x^6 + 8*x^7 + 13*x^8 +...
where A(x) is the limit of composition of functions x/(1-x^(2*n-1)):
F_1(x) = x/(1-x)
F_2(x) = F_1(x/(1-x^3)) = x + x^2 + x^3 + 2*x^4 + 3*x^5 + 4*x^6 + 6*x^7 +...
F_3(x) = F_2(x/(1-x^5)) = x + x^2 + x^3 + 2*x^4 + 3*x^5 + 5*x^6 + 8*x^7 +...
F_4(x) = x/(1-x) o x/(1-x^3) o x/(1-x^5) o x/(1-x^7); ...
PROG
(PARI) {a(n)=local(A=x+x*O(x^n)); if(n<=0, 0, for(i=1, n, A=A/(1-A^(2*(n-i)+1))); polcoeff(A, n))}
for(n=1, 45, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 11 2012
STATUS
approved