A324273 Squares visited by a single pawn move for an even square and a double pawn move for an odd square on a diagonally numbered board and moving to the lowest available unvisited square of different parity at each step.

1, 4, 7, 2, 5, 12, 17, 8, 13, 6, 3, 10, 15, 26, 19, 32, 25, 14, 9, 18

Offset: 1

Author

Jan Koornstra, Feb 20 2019

Keywords

• nonn
• fini
• full

Comments

The board is numbered as follows:

1 2 4 7 11 16 .

3 5 8 12 17 .

6 9 13 18 .

10 14 19 .

15 20 .

21 .

.

Examples

			Square 1 is odd. Hence the next square should be the lowest even square a double move away from 1, which is square 4. Next, there is only a single option to move in a single move to an odd square, namely at square 7. Etc.
		

Crossrefs

Cf. A316588, A324274, A324275.