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Rank of (3+r)*n when all the numbers (3-r)*j and (3+r)*k, where r = sqrt(5), j>=1, k>=1, are jointly ranked.
2

%I #4 Sep 25 2017 13:09:34

%S 7,15,23,31,39,47,54,62,70,78,86,94,102,109,117,125,133,141,149,157,

%T 164,172,180,188,196,204,212,219,227,235,243,251,259,267,274,282,290,

%U 298,306,314,322,329,337,345,353,361,369,376,384,392,400,408,416,424

%N Rank of (3+r)*n when all the numbers (3-r)*j and (3+r)*k, where r = sqrt(5), j>=1, k>=1, are jointly ranked.

%H Clark Kimberling, <a href="/A292639/b292639.txt">Table of n, a(n) for n = 1..1000</a>

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

%t Table[n + Floor[n*r/s], {n, 1, z}] (* A292638 *)

%t Table[n + Floor[n*s/r], {n, 1, z}] (* A292639 *)

%Y Cf. A292638 (complement).

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 25 2017