A069893 Sequence around outside of double zero roulette wheel.

0, 27, 10, 25, 29, 12, 8, 19, 31, 18, 6, 21, 33, 16, 4, 23, 35, 14, 2, 0, 28, 9, 26, 30, 11, 7, 20, 32, 17, 5, 22, 34, 15, 3, 24, 36, 13, 1, 0, 27, 10, 25, 29, 12, 8, 19, 31, 18, 6, 21, 33, 16, 4, 23, 35, 14, 2, 0, 28, 9, 26, 30, 11, 7, 20, 32, 17, 5, 22, 34, 15, 3, 24, 36, 13, 1

Offset: 1

Author

Brett Stevens (brett(AT)math.carleton.ca), Apr 09 2002

Keywords

• fini
• full
• nonn

Comments

Double zeros, "00", occur before 27s in the sequence but have been replaced here by 0's.

The roulette wheel and the dartboard are good candidates for what might be considered an "Anti-Gray Code", a sequence of objects from a combinatorial family such that nearby elements are far apart in some metric.

References

• G. Simmons, An Application of Maximum-Minimum Distance Circuits on Hypercubes, Lecture Notes in Mathematics, Vol. 686 (1977) pp. 290-299.

Links

• Gambling Guide, Roulette Rules and Information
• G. Simmons, An Application of Maximum-Minimum Distance Circuits on Hypercubes, Lecture Notes in Mathematics, Vol. 686 (1977) pp. 290-299.
• Wikipedia, Roulette.

Crossrefs

Cf. A069892, A008575, A003833.