A292660 - OEIS

%I #4 Sep 29 2017 07:17:35

%S 1,4,6,9,12,13,16,19,21,24,25,28,31,33,36,39,40,43,46,48,51,52,55,58,

%T 60,63,66,67,70,72,75,78,79,82,85,87,90,93,94,97,99,102,105,106,109,

%U 112,114,117,119,121,124,126,129,132,133,136,139,141,144,145,148

%N 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.

%C This sequence together with A292661 and A292662 partition the set of positive integers.

%H Clark Kimberling, <a href="/A292660/b292660.txt">Table of n, a(n) for n = 1..1000</a>

%t z = 120; r = Sqrt[2]; s = Sqrt[3]; t = Sqrt[5];

%t Table[n + Floor[n*r/s] + Floor[n*r/t], {n, 1, z}]  (* A292660 *)

%t Table[n + Floor[n*s/r] + Floor[n*s/t], {n, 1, z}]  (* A292661 *)

%t Table[n + Floor[n*t/r] + Floor[n*t/s], {n, 1, z}]  (* A292662 *)

%Y Cf. A292661, A292662.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Sep 28 2017