

A192514


SpragueGrundy values for graphical nim played on the caterpillar C_{n,1}.


0



2, 3, 4, 5, 6, 2, 1, 0, 8, 6, 0, 1, 2, 3, 8, 5, 12, 7, 1, 0, 8, 9, 14, 1, 2, 3, 11, 4, 7, 12, 14, 0, 16, 2, 4, 12, 2, 3, 10, 4, 7, 15, 1, 16, 9, 18, 16, 12, 2, 3, 10, 16, 7, 12, 1, 16, 18, 11, 16, 122, 22, 11, 16, 7, 12, 1, 20, 24, 16, 26, 12, 13, 22, 11, 16, 24, 15, 14, 16, 22, 19, 16, 12, 13, 19, 11, 16, 24, 15, 14, 16, 25, 11, 16, 12, 13, 22, 11, 16, 7, 15, 1, 20, 25, 19, 11
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


REFERENCES

Calkin, Neil J.; James, Kevin; Janoski, Janine E.; Leggett, Sarah; Richards, Bryce; Sitaraman, Nathan; and Thomas, Stephanie M.; Computing strategies for graphical Nim, in Proceedings of the FortyFirst Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 202 (2010), 171185. See Fig. 1.


LINKS

Table of n, a(n) for n=1..106.


FORMULA

Has period 12 starting at n = 156.


CROSSREFS

Sequence in context: A037902 A037840 A165091 * A105257 A125937 A173526
Adjacent sequences: A192511 A192512 A192513 * A192515 A192516 A192517


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 03 2011


STATUS

approved



