A366871 a(0) = 0; a(n) = n - a(floor(a(n-1)/5)).

0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 65, 66, 67, 68

Offset

0,3

Comments

A variation on Hofstadter's G-sequence.

Links

Table of n, a(n) for n=0..79.

Index entries for Hofstadter-type sequences

Formula

Conjecture: a(n) ~ c*n, where c = 1/(1 + 1/(5 + 1/(1 + 1/(5 + ...)))) = (3*sqrt(5) - 5)/2 = 0.8541019662496845...

Mathematica

a[0] = 0; a[n_] := a[n] = n - a[Floor[a[n - 1]/5]]; Array[a, 80, 0]

Crossrefs

Cf. A005206, A286389, A366860, A366870.

Sequence in context: A256562 A228297 A303788 * A319288 A106744 A332613

Adjacent sequences: A366868 A366869 A366870 * A366872 A366873 A366874

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 26 2023

Status

approved