A395348 - OEIS

A395348

Consider the square spiral with its cells numbered starting at 0, as in A308884 and A274641. Two players, Black and Red, take turns. When it is Black's turn, he places a queen at the smallest unoccupied cell not attacked by an existing Red queen, and when it is Red's turn, she places a queen at the smallest unoccupied cell not attacked by an existing Black queen. Sequence lists squares occupied by a Black queen.

0, 2, 18, 28, 38, 52, 68, 86, 104, 126, 150, 176, 202, 232, 264, 298, 332, 370, 410, 452, 494, 540, 588, 638, 688, 742, 798, 856, 914, 976, 1040, 1106, 1172, 1242, 1314, 1388, 1462, 1540, 1620, 1702, 1784, 1870, 1958, 2048, 2138, 2232, 2328, 2426, 2524, 2626, 2730

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Similar to A392177 and A392178, but placing queens instead of knights.

LINKS

Michael S. Branicky, Table of n, a(n) for n = 0..19999

Michael S. Branicky, Python program for OEIS A395348 and A395349

Michael S. Branicky, Plot of First 64 Red and Black Queen Locations

Michael S. Branicky, Plot of First 6400 Red and Black Queen Locations

CROSSREFS

Cf. A395349 (Red queens). See also A308884, A274641, A392177, A392178 (knights).