A155902 Arises in Connell's game, a variation of Wythoff's Nim game.

0, 1, 2, 4, 5, 7, 8, 10, 11, 12, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 53, 54, 55, 57, 58, 60, 61, 63, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77, 78, 80, 81, 83, 84, 86, 87, 88, 90, 91, 93, 94, 96, 97, 98, 100, 101

Offset

0,3

Comments

Top row of Table 1, p.3, of Larsson.

Coincides for small n with A059549 because (sqrt(13)+5)/6 = 1.434258.. is close to 1+1/log(10) = 1.4342944.. - R. J. Mathar, Dec 03 2025

Links

Table of n, a(n) for n=0..71.

Urban Larsson, Wythoff Nim Extensions and Certain Beatty Sequences, arXiv:0901.4683 [math.CO], 2009-2010.

Formula

a(n) = floor(n*(sqrt(13)-1)/6) + n = floor(n*(sqrt(13)+5)/6).

Crossrefs

Sequence in context: A289036 A066344 A059549 * A307913 A059539 A307513

Adjacent sequences: A155899 A155900 A155901 * A155903 A155904 A155905

Keyword

easy,nonn

Author

Jonathan Vos Post, Jan 30 2009

Extensions

More terms from R. J. Mathar, Mar 06 2009

Status

approved