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A291146 Expansion of 1/(1 - x/(1 - x^8/(1 - x^27/(1 - x^64/(1 - x^125/(1 - x^216/(1 - ... - x^(n^3)/(1 - ...)))))))), a continued fraction. 2

%I #14 Aug 20 2017 09:22:41

%S 1,1,1,1,1,1,1,1,1,2,3,4,5,6,7,8,9,11,14,18,23,29,36,44,53,64,78,96,

%T 119,148,184,228,281,345,423,519,639,788,973,1202,1484,1830,2254,2774,

%U 3415,4206,5183,6390,7880,9717,11979,14762,18188,22408,27609,34022,41931

%N Expansion of 1/(1 - x/(1 - x^8/(1 - x^27/(1 - x^64/(1 - x^125/(1 - x^216/(1 - ... - x^(n^3)/(1 - ...)))))))), a continued fraction.

%e G.f. = 1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + 2*x^9 + 3*x^10 + 4*x^11 + 5*x^12 + ...

%Y Column k=3 of A290771.

%Y Cf. A005169, A206739.

%K nonn

%O 0,10

%A _Seiichi Manyama_, Aug 18 2017

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)