A327313 Positions of 2's in {A327310(n) : n > 0}.

1, 6, 7, 12, 13, 18, 19, 24, 25, 30, 31, 35, 36, 41, 42, 47, 48, 53, 54, 59, 60, 65, 66, 70, 71, 76, 77, 82, 83, 88, 89, 94, 95, 100, 101, 105, 106, 111, 112, 117, 118, 123, 124, 129, 130, 135, 140, 141, 146, 147, 152, 153, 158, 159, 164, 165, 170, 175

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) = 2. - Jianing Song, Sep 30 2019

Links

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

Crossrefs

Cf. A327310, A327311, A327312.

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