A292661 Rank of n*sqrt(3) when all the numbers h*sqrt(2), j*sqrt(3), k*sqrt(5), for h>=1, j>=1, k>=1, are jointly ranked.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104, 107, 110, 113, 116, 118, 122, 125, 128, 131, 134, 137, 140, 143, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176

Offset

1,1

Comments

This sequence together with A292660 and A292662 partition the set of positive integers.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Mathematica

z = 120; r = Sqrt[2]; s = Sqrt[3]; t = Sqrt[5];
Table[n + Floor[n*r/s] + Floor[n*r/t], {n, 1, z}]  (* A292660 *)
Table[n + Floor[n*s/r] + Floor[n*s/t], {n, 1, z}]  (* A292661 *)
Table[n + Floor[n*t/r] + Floor[n*t/s], {n, 1, z}]  (* A292662 *)

Crossrefs

Cf. A292661, A292663.

Sequence in context: A329988 A189934 A189386 * A016789 A190082 A165334

Adjacent sequences: A292658 A292659 A292660 * A292662 A292663 A292664

Keyword

nonn,easy

Author

Clark Kimberling, Sep 28 2017

Status

approved