A293364 The integer k that minimizes |k/2^n - log 2|.

1, 1, 3, 6, 11, 22, 44, 89, 177, 355, 710, 1420, 2839, 5678, 11357, 22713, 45426, 90852, 181704, 363409, 726817, 1453635, 2907270, 5814540, 11629080, 23258160, 46516320, 93032640, 186065279, 372130559, 744261118, 1488522236, 2977044472, 5954088944

Offset

0,3

Links

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

Formula

a(n) = floor(1/2 + (log 2)*2^n).

a(n) = A293362(n) if (fractional part of (log 2)*2^n) < 1/2, else a(n) = A293363(n).

Mathematica

z = 120; r = Log[2];
Table[Floor[r*2^n], {n, 0, z}];   (* A293362 *)
Table[Ceiling[r*2^n], {n, 0, z}]; (* A293363 *)
Table[Round[r*2^n], {n, 0, z}];   (* A293364 *)

Crossrefs

Cf. A002162, A293362, A293363.

Sequence in context: A024506 A068033 A293337 * A287425 A088052 A045693

Adjacent sequences: A293361 A293362 A293363 * A293365 A293366 A293367

Keyword

nonn,easy

Author

Clark Kimberling, Oct 11 2017

Status

approved