A076896 a(1) = 1, a(n) = n-a(floor(2n/3)).

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

Offset: 1

Author

Benoit Cloitre, Nov 26 2002

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A050292.

Programs

Mathematica

a[1] = 1; a[n_] := a[n] = n - a[Floor[2*n/3]]; Array[a, 100] (* Amiram Eldar, May 09 2022 *)

PARI

a(n)=if(n==0,0,n-a(floor(2*n/3))); \\ Joerg Arndt, Apr 27 2013

Formula

a(n) is asymptotic to (6/10)*n.