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A292772 a(n) = cardinality of a certain set of natural numbers defined using A117818. 1
1, 2, 3, 4, 6, 8, 12, 18, 25, 38, 56, 89, 138, 218, 342, 547, 882, 1429, 2299, 3705, 5961, 9615, 15524, 25057, 40442, 65247, 105412, 170224, 274963, 44156, 717551, 1159406, 1873356 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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|.

REFERENCES

Mihai Caragiu, P. A. Vicol. M. Kaki, On Conway's subprime function, a covering of N and an unexpected appearance of the golden ratio, Fib. Q., to appear, 2017.

LINKS

Table of n, a(n) for n=0..32.

CROSSREFS

Cf. A117818.

Sequence in context: A319054 A074964 A017822 * A179042 A222786 A156082

Adjacent sequences:  A292769 A292770 A292771 * A292773 A292774 A292775

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Sep 29 2017

STATUS

approved

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Last modified May 27 06:24 EDT 2019. Contains 323599 sequences. (Running on oeis4.)