

A032436


Triangle of thirdtolast man to survive in the Josephus problem of n men in a circle with every kth killed, with k<=n.


3



1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 4, 1, 1, 3, 1, 2, 5, 3, 1, 2, 1, 1, 2, 6, 1, 4, 3, 3, 1, 1, 2, 7, 3, 1, 1, 2, 4, 1, 1, 2, 8, 1, 4, 1, 3, 3, 5, 1, 1, 4, 9, 3, 2, 5, 1, 5, 1, 1, 4, 3, 2, 10, 1, 5, 1, 1, 3, 8, 2, 1, 1, 1, 2, 11, 3, 1, 5, 6, 4, 2, 4, 3, 1, 1, 1, 7, 12, 5, 2, 3, 2, 1, 9, 4, 5, 7, 1, 1, 6
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

3,4


REFERENCES

Ball, W. W. R. and Coxeter, H. S. M., Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 3236, 1987.
Kraitchik, M. "Josephus' Problem." Sec. 3.13 in Mathematical Recreations. New York: W.W. Norton, pp. 9394, 1942.


LINKS

Table of n, a(n) for n=3..103.
Eric Weisstein's World of Mathematics, More information


CROSSREFS

Cf. A032434, A032435, A032436.
Sequence in context: A175307 A324825 A316557 * A280274 A073408 A120454
Adjacent sequences: A032433 A032434 A032435 * A032437 A032438 A032439


KEYWORD

nonn,tabl


AUTHOR

N. J. A. Sloane.


STATUS

approved



