A292648 - OEIS

A292648

Rank of Pi*n when all the numbers Pi*j and (Pi+1)*k, for j>=1, k>=1, are jointly ranked.

1, 3, 5, 7, 8, 10, 12, 14, 15, 17, 19, 21, 22, 24, 26, 28, 29, 31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 49, 50, 52, 54, 56, 58, 59, 61, 63, 65, 66, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 86, 87, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 107, 109, 110, 112

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

FORMULA

a(n) = k*n + O(1), where k = 2 - 1/(Pi + 1) = 1.7585.... - Charles R Greathouse IV, Mar 13 2018

MATHEMATICA

z = 120; r = Pi; s = Pi+1;

Table[n + Floor[n*r/s], {n, 1, z}] (* A292648 *)

Table[n + Floor[n*s/r], {n, 1, z}] (* A292649 *)

PROG