A275690 G.f. A(x) satisfies: 1 = ...(((((A(x) - x)^(1/3) - x^2)^(1/3) - x^3)^(1/3) - x^4)^(1/3) - x^5)^(1/3) -...- x^n)^(1/3) -..., an infinite series of nested cube roots.

1, 1, 3, 9, 30, 99, 334, 1116, 3744, 12504, 41724, 138840, 461187, 1528554, 5057028, 16699293, 55051065, 181184337, 595400772, 1953715239, 6401926227, 20950064478, 68472011889, 223521012585, 728827015536, 2373846887673, 7723658267667, 25104640758607, 81519763177575, 264463605423009, 857192148657477, 2775964660002954, 8982278557410627, 29040795844301862, 93819208534071840, 302863860771034455, 976981070712962919, 3149327670664845204

Offset: 0

Author

Paul D. Hanna, Aug 07 2016

Keywords

• nonn

Crossrefs

Cf. A132331 (variant), A274965 (variant).

Programs

PARI

{a(n) = my(A=1 +x*O(x^n)); for(k=0, n, A = A^3 + x^(n+1-k)); polcoeff(A, n)}
for(n=0, 40, print1(a(n), ", "))