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A317192
A140100(n) - A140102(n).
2
0, 1, 0, 1, 1, 2, 1, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 6, 5, 6, 6, 7, 6, 7, 7, 8, 7, 8, 9, 8, 9, 9, 10, 9, 10, 9, 10, 10, 11, 10, 11, 12, 11, 12, 12, 13, 12, 13, 14, 13, 14, 14, 15, 14, 15, 14, 15, 15, 16, 15, 16, 17, 16, 17, 17
OFFSET
1,6
COMMENTS
It follows from known properties of A140100 and A140102 that the first differences of this sequence (see A317193) belong to {-1, 0, 1}.
Conjecture 1: a(n) = A276796(n) - A276797(n).
Conjecture 2: The first-difference sequence A317193 is an encoded form of the ternary tribonacci word A080843.
All these conjectures are now theorems - see the Dekking et al. paper. - N. J. A. Sloane, Jul 22 2019
LINKS
F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 31 2018
STATUS
approved