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

1,2

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

Table of n, a(n) for n=1..76.

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.

Sequence in context: A097441 A040707 A040706 * A013681 A103948 A323835

Adjacent sequences: A069890 A069891 A069892 * A069894 A069895 A069896

Keyword

fini,full,nonn

Author

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

Status

approved