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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.

%I A275690 #3 Aug 07 2016 17:50:53
%S A275690 1,1,3,9,30,99,334,1116,3744,12504,41724,138840,461187,1528554,
%T A275690 5057028,16699293,55051065,181184337,595400772,1953715239,6401926227,
%U A275690 20950064478,68472011889,223521012585,728827015536,2373846887673,7723658267667,25104640758607,81519763177575,264463605423009,857192148657477,2775964660002954,8982278557410627,29040795844301862,93819208534071840,302863860771034455,976981070712962919,3149327670664845204
%N 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.
%o A275690 (PARI) {a(n) = my(A=1 +x*O(x^n)); for(k=0, n, A = A^3 + x^(n+1-k)); polcoeff(A, n)}
%o A275690 for(n=0, 40, print1(a(n), ", "))
%Y A275690 Cf. A132331 (variant), A274965 (variant).
%K A275690 nonn
%O A275690 0,3
%A A275690 _Paul D. Hanna_, Aug 07 2016