A293340 - OEIS

A293340

Least integer k such that k/2^n > 1/e.

1, 1, 2, 3, 6, 12, 24, 48, 95, 189, 377, 754, 1507, 3014, 6028, 12055, 24110, 48219, 96438, 192875, 385750, 771500, 1542999, 3085997, 6171993, 12343986, 24687972, 49375943, 98751886, 197503772, 395007543, 790015085, 1580030169, 3160060338, 6320120675

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OFFSET

0,3

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = ceiling(r*2^n), where r = 1/e.

a(n) = A293339(n) + 1.

MATHEMATICA

z = 120; r = 1/E;

Table[Floor[r*2^n], {n, 0, z}]; (* A293339 *)

Table[Ceiling[r*2^n], {n, 0, z}]; (* A293340 *)