A265133 Beatty sequence for log(2).

0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 47, 48, 49, 49, 50, 51, 51, 52, 53, 54, 54, 55

Offset: 1

Author

Ilya Gutkovskiy, Dec 02 2015

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Eric Weisstein's World of Mathematics, Beatty Sequence
• Eric Weisstein's World of Mathematics, Natural Logarithm of 2
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A002162, A059541, A059543.

Programs

Magma

[Floor(n*Log(2)): n in [1..100]]; // Vincenzo Librandi, Dec 03 2015

Mathematica

Table[Floor[Log[2] n], {n, 1, 80}]

PARI

a(n) = floor(n*log(2)); \\ Altug Alkan, Dec 02 2015

Formula

a(n) = floor(n*log(2)).

a(n) = A059541(n) - n.