A032532 Integer part of decimal 'base-2 looking' numbers divided by their actual base-2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal).

1, 5, 3, 25, 20, 18, 15, 125, 111, 101, 91, 91, 84, 79, 74, 625, 588, 556, 526, 505, 481, 459, 439, 458, 440, 423, 407, 396, 382, 370, 358, 3125, 3030, 2941, 2857, 2780, 2705, 2634, 2566, 2525, 2463, 2405, 2349, 2297, 2246, 2198, 2151, 2291

Offset: 1

Author

Patrick De Geest, Apr 15 1998

Keywords

• nonn
• easy

Examples

			1_2 / 1_10 = 1/1 = 1;
10_2 / 2_10 = 10/2 = 5;
11_2 / 3_10 = 11/3 = 3.666666666...;
100_2 / 4_10 = 100/4 = 25;
101_2 / 5_10 = 101/5 = 20.2.
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A032533, A032534, A007088.

Programs

Mathematica

Array[Floor[FromDigits[IntegerDigits[#, 2]]/#] &, 48] (* Michael De Vlieger, Oct 06 2019 *)

Formula

a(n) = floor(A007088(n)/n).