A086335 a(n) = a((n - a(n-1))*(1-mod(n, 2))+a(n-1)*(mod(n, 2))) + a((n - a(n-2))*(1-mod(n, 2)) +(n-a(n-1))*(mod(n, 2))) with a(1) = a(2) = 1.

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

Offset: 1

Author

Roger L. Bagula, Sep 01 2003

Keywords

• nonn

Crossrefs

Cf. A004001, A005185. Complement gives A086451.

Programs

Mathematica

Hc[n_Integer?Positive] := Hc[n] =Hc[(n - Hc[n-1])*(1-Mod[n, 2])+Hc[n-1]*(Mod[n, 2])] + Hc[(n - Hc[n-2])*(1-Mod[n, 2])+(n-Hc[n-1])*(Mod[n, 2])]
Hc[1] = Hc[2] = 1
Terms = 60
Table[Hc[n], {n, 1, Terms }]

Extensions

Edited by N. J. A. Sloane, May 25 2006