A292660 Rank of n*sqrt(2) when all the numbers h*sqrt(2), j*sqrt(3), k*sqrt(5), for h>=1, j>=1, k>=1, are jointly ranked.

1, 4, 6, 9, 12, 13, 16, 19, 21, 24, 25, 28, 31, 33, 36, 39, 40, 43, 46, 48, 51, 52, 55, 58, 60, 63, 66, 67, 70, 72, 75, 78, 79, 82, 85, 87, 90, 93, 94, 97, 99, 102, 105, 106, 109, 112, 114, 117, 119, 121, 124, 126, 129, 132, 133, 136, 139, 141, 144, 145, 148

Offset

1,2

Comments

This sequence together with A292661 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, A292662.

Sequence in context: A198696 A219612 A258743 * A190081 A364445 A298468

Adjacent sequences: A292657 A292658 A292659 * A292661 A292662 A292663

Keyword

nonn,easy

Author

Clark Kimberling, Sep 28 2017

Status

approved