A327312 Positions of 1's in {A327310(n) : n > 0}.

2, 3, 8, 9, 14, 15, 20, 21, 26, 27, 32, 33, 37, 38, 43, 44, 49, 50, 55, 56, 61, 62, 67, 72, 73, 78, 79, 84, 85, 90, 91, 96, 97, 102, 107, 108, 113, 114, 119, 120, 125, 126, 131, 132, 136, 137, 142, 143, 148, 149, 154, 155, 160, 161, 166, 167, 171, 172

Offset: 1

Author

Clark Kimberling, Sep 07 2019

Keywords

• nonn
• easy

Comments

The positive integers are partitioned by A327311, A327312, and A327313.

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

Positive integers k such that A327310(k) = 1. - Jianing Song, Sep 30 2019

Links

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

Crossrefs

Cf. A327310, A327311, A327313.

Programs

Mathematica

r = Sqrt[8]; z = 300;
t = Table[Floor[3 n*r] - 3 Floor[n*r], {n, 1, z}]  (* {A327310(n) : n > 0} *)
Flatten[Position[t, 0]]  (* A327311 *)
Flatten[Position[t, 1]]  (* A327312 *)
Flatten[Position[t, 2]]  (* A327313 *)

Extensions

Corrected by Jianing Song, Sep 30 2019