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A265133
Beatty sequence for log(2).
1
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
1,3
LINKS
Eric Weisstein's World of Mathematics, Beatty Sequence
Eric Weisstein's World of Mathematics, Natural Logarithm of 2
FORMULA
a(n) = floor(n*log(2)).
a(n) = A059541(n) - n.
MATHEMATICA
Table[Floor[Log[2] n], {n, 1, 80}]
PROG
(PARI) a(n) = floor(n*log(2)); \\ Altug Alkan, Dec 02 2015
(Magma) [Floor(n*Log(2)): n in [1..100]]; // Vincenzo Librandi, Dec 03 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Ilya Gutkovskiy, Dec 02 2015
STATUS
approved