A327307 Positions of 0's in {A327306(n) : n > 0}.

5, 7, 9, 14, 16, 18, 25, 27, 29, 34, 36, 38, 43, 45, 47, 49, 54, 56, 58, 63, 65, 67, 69, 74, 76, 78, 83, 85, 87, 89, 94, 96, 98, 103, 105, 107, 114, 116, 118, 123, 125, 127, 132, 134, 136, 138, 143, 145, 147, 152, 154, 156, 158, 163, 165, 167, 172, 174

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) = 0. - Jianing Song, Sep 30 2019

Links

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

Crossrefs

Cf. A327306, A327308, 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