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A292772 a(n) = cardinality of a certain set of natural numbers defined using A117818. 1

%I #12 Sep 28 2023 09:19:26

%S 1,2,3,4,6,8,12,18,25,38,56,89,138,218,342,547,882,1429,2299,3705,

%T 5961,9615,15524,25057,40442,65247,105412,170224,274963,44156,717551,

%U 1159406,1873356

%N a(n) = cardinality of a certain set of natural numbers defined using A117818.

%C Let s(n) = A117818(n). Define sets C_n of natural numbers by C_0 = {1}; C_(n+1) = C_n union {s(x+y): x, y in C_n} for n >= 0. Then a(n) = |C_n|.

%H Mihai Caragiu, P. A. Vicol, and M. Kaki, <a href="https://www.fq.math.ca/Papers1/55-4/CaragiuVicolZaki03162017.pdf">On Conway's subprime function, a covering of N and an unexpected appearance of the golden ratio</a>, Fib. Q., 55 (2017), no. 4, 327-331.

%Y Cf. A117818.

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_, Sep 29 2017

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)