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

1,2

Links

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

Formula

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

Example

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.

Mathematica

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

Crossrefs

Cf. A032533, A032534, A007088.

Sequence in context: A181351 A266385 A354091 * A111108 A038245 A178640

Adjacent sequences: A032529 A032530 A032531 * A032533 A032534 A032535

Keyword

nonn,easy

Author

Patrick De Geest, Apr 15 1998

Status

approved