A095769 - OEIS

A095769

a(1)=a(2)=1; a(n)=a(a(a(a(n-1))))+a(n-a(a(a(n-1)))).

1, 1, 2, 3, 4, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 17, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 26, 26, 27, 28, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 39, 39, 39, 39, 39, 40, 41, 41, 42, 43, 44, 45, 46, 47, 47, 48, 48, 48, 49, 50, 51, 52

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OFFSET

1,3

COMMENTS

A generalization of A004001.

LINKS

Table of n, a(n) for n=1..74.

J. Grytczuk, Another variation on Conway's recursive sequence, Discr. Math. 282 (2004), 149-161.

FORMULA

For n > 1, a(A000930(n)) = A000930(n-1).

Conjecture: lim_{n->oo} a(n)/n = 0.682327803828... (the real positive root of x^3 + x = 1).

PROG