OFFSET
14,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 14..1000
FORMULA
Conjectures from Chai Wah Wu, Apr 18 2024: (Start)
a(n) = a(n-1) + a(n-2) - 2*a(n-5) + a(n-8) + a(n-9) - a(n-10) for n > 26.
G.f.: x^14*(-x^4 + x + 1)*(x^8 - x^5 - 2*x^4 + 2*x + 1)/((x - 1)^4*(x + 1)^2*(x^2 + 1)*(x^2 + x + 1)). (End)
G.f.: Sum_{i>2} q^(8+i) * ( q_binomial(3,i) - q^2 - q^3 - Sum_{j=0..i} (q^j) ). - John Tyler Rascoe, Apr 23 2024
PROG
(PARI)
p_q(k) = {prod(j=1, k, 1-q^j); }
GB_q(N, M)= {p_q(N+M)/(p_q(M)*p_q(N)); }
A_q(N) = {my(q='q+O('q^N), g=sum(i=3, N, q^(8+i) * (GB_q(3, i) - q^2 - q^3 - sum(j=0, i, q^j))));
Vec(g)}
A_q(70) \\ John Tyler Rascoe, Apr 23 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 23 2014
STATUS
approved