A065482 a(n) = round( 2^n/n ).

2, 2, 3, 4, 6, 11, 18, 32, 57, 102, 186, 341, 630, 1170, 2185, 4096, 7710, 14564, 27594, 52429, 99864, 190650, 364722, 699051, 1342177, 2581110, 4971027, 9586981, 18512790, 35791394, 69273666, 134217728, 260301048, 505290270, 981706811, 1908874354, 3714566310

Offset: 1

Author

N. J. A. Sloane, Dec 03 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..300

Crossrefs

Cf. A000799, A053638, A082893-A082900.

Programs

Magma

[Round(2^n/n): n in [1..30]]; // G. C. Greubel, Jan 18 2018

Mathematica

Table[Floor[(Floor[n/2]+2^n)/n], {n, 1, 100}]

PARI

a(n) = { round(2^n/n) } \\ Harry J. Smith, Oct 20 2009

Python

def A065482(n): return ((1<>1))//n # Chai Wah Wu, Apr 23 2025

Formula

a(n) = A082894(n)/n.

a(n) = floor((2^n + floor(n/2))/n).