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A307284 Coordinates X_upper(n) of P-positions in Maharaja Nim on square spiral (see Comments for precise definition). 5
0, 2, 4, 7, 8, 11, 12, 14, 16, 18, 21, 24, 26, 28, 29, 31, 32, 34, 36, 38, 40, 42, 43, 45, 46, 48, 49, 51, 54, 55, 57, 60, 61, 63, 64, 66, 68, 71, 72, 74, 75, 77, 80, 81, 83, 86, 87, 89, 92, 93, 95, 97, 98, 100, 103, 104, 106, 108, 109 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

We study Maharaja Nim on the square spiral, as in A307282, A307283, and in particular the P-positions in the 4th quadrant. As in A140100 and A140101 (which are the analogs if we use a Queen instead of a Maharaja) we take the X-axis to point South and the Y-axis to point East.

The P-positions now lie on two roughly straight lines, with coordinates (X_upper(n), Y_upper(n)) with X_upper(n) <= Y_upper(n), and (X_lower(n), Y_lower(n)) with X_lower(n) <= Y_lower(n). These four sequences are A307284-A307287.

The two lines are the hard-to-see black pixels in the fourth quadrant in the Sigrist illustration.

LINKS

Table of n, a(n) for n=0..58.

Rémy Sigrist, Colored representation of the spiral for x = -500..500 and y = -500..500 (where the hue is function of T(x,y) and black pixels correspond to 0's)

CROSSREFS

Cf. A140100, A140101, A307282, A307283, A307284-A307287.

Sequence in context: A209864 A182654 A112648 * A323108 A187418 A161989

Adjacent sequences:  A307281 A307282 A307283 * A307285 A307286 A307287

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 08 2019

STATUS

approved

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Last modified October 17 07:39 EDT 2021. Contains 348048 sequences. (Running on oeis4.)