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

1,2

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 .

.

Links

Table of n, a(n) for n=1..20.

Example

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.

Sequence in context: A113963 A071932 A246433 * A308883 A139348 A021683

Adjacent sequences: A324270 A324271 A324272 * A324274 A324275 A324276

Keyword

nonn,fini,full

Author

Jan Koornstra, Feb 20 2019

Status

approved