A180447 n appears 3n+1 times.

0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset

0,6

Links

Table of n, a(n) for n=0..104.

Formula

a(n) = floor((sqrt(24n+1)+1)/6).

Example

a(5) = floor((sqrt(24*5+1)+1)/6) = 2.

Mathematica

f[n_] := Floor[(Sqrt[24 n + 1] + 1)/6]; Array[f, 105, 0] (* Robert G. Wilson v, Sep 10 2010 *)

Prog

(Python) l = [floor((sqrt(24*n+1)+1)/6) for n in range(0, 101)]
(PARI) a(n) = (sqrtint(24*n+1)+1)\6; \\ Kevin Ryde, Apr 21 2021

Crossrefs

Cf. A000326 (indices of run starts), A180446.

Sequence in context: A329195 A204164 A257639 * A295866 A115338 A348522

Adjacent sequences: A180444 A180445 A180446 * A180448 A180449 A180450

Keyword

easy,nonn

Author

William A. Tedeschi, Sep 07 2010

Extensions

More terms from Robert G. Wilson v, Sep 10 2010

Status

approved