A292660 - OEIS

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

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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 *)