A323750 The label of the ending square of a (m,n)-leaper (a generalization of a chess knight) when it can no longer move, starting on a board with squares spirally numbered, starting at 1. Each move is to the lowest-numbered unvisited square.

2084, 7081, 4698, 10847, 8399, 1164, 25963, 6760, 2269, 6500, 22421, 28273, 18946, 18643, 1202, 202891, 10059, 6425, 6662, 3039, 1383, 142679, 43325, 3744, 33725, 1460, 4639, 1952, 252953, 23684, 63577, 6040, 10841, 41836, 10017, 6338, 188501, 104413, 26546, 26967, 52736, 9145, 6580, 25799, 1869, 257479, 35652

Offset

1,1

Comments

The entries are the lower triangle of an array, for (m,n)-leaper, where 1 <= n < m, ordered: (2,1), (3,1), (3,2), (4,1), (4,2), etc.

Links

Jud McCranie, Table of n, a(n) for n = 1..19900

N. J. A. Sloane and Brady Haran, The Trapped Knight, Numberphile video (2019).

Example

A chess knight (a (2,1)-leaper) makes 2016 moves before it reaches the square labeled 2084 and has no moves available (see A316667).

Crossrefs

Cf. A323749, A316667, A317106, A317471, A317416, A323750, A317438, A317916.

Sequence in context: A224438 A323714 A343179 * A323471 A251225 A306421

Adjacent sequences: A323747 A323748 A323749 * A323751 A323752 A323753

Keyword

nonn,tabf

Author

Jud McCranie, Jan 26 2019

Status

approved