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A292648 Rank of Pi*n when all the numbers Pi*j and (Pi+1)*k, for j>=1, k>=1, are jointly ranked. 2

%I #8 Mar 13 2018 14:17:23

%S 1,3,5,7,8,10,12,14,15,17,19,21,22,24,26,28,29,31,33,35,36,38,40,42,

%T 43,45,47,49,50,52,54,56,58,59,61,63,65,66,68,70,72,73,75,77,79,80,82,

%U 84,86,87,89,91,93,94,96,98,100,101,103,105,107,109,110,112

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

%H Clark Kimberling, <a href="/A292648/b292648.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = k*n + O(1), where k = 2 - 1/(Pi + 1) = 1.7585.... - _Charles R Greathouse IV_, Mar 13 2018

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

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

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

%o (PARI) a(n)=n*Pi\(Pi+1) + n \\ _Charles R Greathouse IV_, Mar 13 2018

%Y Cf. A292649 (complement).

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Sep 26 2017

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Last modified August 12 16:35 EDT 2024. Contains 375113 sequences. (Running on oeis4.)