A125050 a(1) = 1. If a(n) is composite, a(n+1) = 2*a(n)+1; otherwise, a(n+1) = 2*a(n).

1, 2, 4, 9, 19, 38, 77, 155, 311, 622, 1245, 2491, 4983, 9967, 19934, 39869, 79738, 159477, 318955, 637911, 1275823, 2551646, 5103293, 10206587, 20413175, 40826351, 81652702, 163305405, 326610811, 653221623, 1306443247, 2612886495

Offset

1,2

Links

Table of n, a(n) for n=1..32.

Formula

a(n) = floor(c*2^n), where c = 0.6083600446... - Lorenzo Sauras Altuzarra, Jan 01 2023

Maple

a := proc(n)
   local c, k:
   c, k := 1, 1:
   while c < n do
      if k > 1 and not isprime(k) then k := 2*k+1: else k := 2*k: fi:
      c := c+1: od:
   k: end: # Lorenzo Sauras Altuzarra, Jan 02 2023

Crossrefs

Cf. A125049.

Sequence in context: A262864 A129784 A329356 * A056186 A265387 A293322

Adjacent sequences: A125047 A125048 A125049 * A125051 A125052 A125053

Keyword

nonn

Author

Franklin T. Adams-Watters, Nov 17 2006

Status

approved