OFFSET
0,2
COMMENTS
Compare to: 1 = Sum_{n>=0} binomial(m*(n+1), n)/(n+1) * x^n / (1+x)^(m*(n+1)) holds for fixed m.
LINKS
Paul D. Hanna, Table of n, a(n) for n = 0..200
EXAMPLE
G.g.: A(x) = 1 + 2*x + 3*x^2 + 16*x^3 + 214*x^4 + 4268*x^5 + 110520*x^6 + ...
such that
1 = 1/A(x) + 2*x/A(x)^3 + 11*x^2/A(x)^6 + 114*x^3/A(x)^10 + 1827*x^4/A(x)^15 + 40508*x^5/A(x)^21 + 1159587*x^6/A(x)^28 + ...
PROG
(PARI) {a(n) = my(A=[1]); for(i=1, n, A = Vec(sum(m=0, #A, binomial((m+1)*(m+2), m)/((m+1)*(m+2)/2) * x^m/Ser(A)^((m+1)*(m+2)/2-1) ))); A[n+1]}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 13 2018
STATUS
approved