A082482 a(n) = floor of (2^n-1)/n.

1, 1, 2, 3, 6, 10, 18, 31, 56, 102, 186, 341, 630, 1170, 2184, 4095, 7710, 14563, 27594, 52428, 99864, 190650, 364722, 699050, 1342177, 2581110, 4971026, 9586980, 18512790, 35791394, 69273666, 134217727, 260301048, 505290270, 981706810

Offset: 1

Author

Jon Perry, Apr 27 2003

Keywords

• nonn

Comments

a(n) is the largest exponent k such that (2^n)^k || (2^n)!. - Lekraj Beedassy, Jan 15 2024

Examples

			a(3) = floor((2^3-1)/3) = floor(7/3) = floor(2.333) = 2.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..3320

Crossrefs

Cf. A023359, A082495, A162214.

a(n) = A053638(n) - 1.

Programs

Maple

seq(floor((2^n-1)/n), n=1..100); # Robert Israel, Dec 01 2016

PARI

for (n=1,50,print1(floor((2^n-1)/n)","))

Formula

a(n) = (2^n - 1 - A082495(n))/n = A162214(n)/n. - Robert Israel, Dec 01 2016