login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A192514
Sprague-Grundy 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
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 Forty-First Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 202 (2010), 171-185. See Fig. 1.
FORMULA
Has period 12 starting at n = 156.
CROSSREFS
Sequence in context: A037902 A037840 A165091 * A105257 A125937 A173526
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 03 2011
STATUS
approved