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A295563
First row of array in A274528.
7
0, 2, 1, 5, 3, 4, 9, 10, 12, 7, 13, 17, 6, 19, 18, 8, 11, 23, 25, 22, 24, 28, 15, 14, 34, 30, 37, 39, 36, 38, 40, 16, 42, 41, 46, 45, 44, 51, 26, 20, 21, 50, 57, 52, 59, 49, 55, 61, 63, 62, 66, 65, 67, 72, 71, 58, 73, 27, 76, 75, 69, 70, 29, 86, 31, 82, 83, 32, 33, 88, 87, 91, 90, 35, 97, 92, 95
OFFSET
0,2
COMMENTS
Note this is not a list, this gives the Grundy-value at (0,n) of the Lonely Queens array A274528 regarded as a game.
It would be nice to have a formula or recurrence. Note that the first row of the analogous array corresponding to the Wythoff game, A004482, does have a simple formula.
The points seem to fall on or close to two lines, of slopes about 0.48 and 1.29 (what are these slopes?). See A295564, A295565, A295566, A295567 for the X- and Y-coordinates of the points on the two lines.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..99999 (terms 0..1999 from N. J. A. Sloane)
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 29 2017
STATUS
approved