A327308 Positions of 1's in {A327306(n) : n > 0}.

1, 3, 8, 10, 12, 17, 19, 21, 23, 28, 30, 32, 37, 39, 41, 48, 50, 52, 57, 59, 61, 66, 68, 70, 72, 77, 79, 81, 86, 88, 90, 92, 97, 99, 101, 106, 108, 110, 112, 117, 119, 121, 126, 128, 130, 137, 139, 141, 146, 148, 150, 157, 159, 161, 166, 168, 170, 175

Offset: 1

Author

Clark Kimberling, Sep 07 2019

Keywords

• nonn
• easy

Comments

The positive integers are partitioned by A327307, A327308, and A327309.

Although a(n)/n->3, the sequence a(n)-3n appears to be unbounded.

Positive integers k such that A327306(k) = 1. - Jianing Song, Sep 30 2019

Links

• Clark Kimberling and Jianing Song, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A327306, A327307, A327309.

Programs

Mathematica

r = Sqrt[6]; z = 300;
t = Table[Floor[3 n*r] - 3 Floor[n*r], {n, 1, z}]  (* {A327306(n) : n > 0} *)
Flatten[Position[t, 0]]  (* A327307 *)
Flatten[Position[t, 1]]  (* A327308 *)
Flatten[Position[t, 2]]  (* A327309 *)

Extensions

Corrected by Jianing Song, Sep 30 2019