A323714 Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves.

2084, 2720, 3325, 3753, 7776, 5632, 7411, 8562, 14076, 8469, 9231, 22702, 14661, 21710, 21078, 25809, 27112, 24708, 19844, 26943, 26737, 32449, 31366, 45036, 37853, 37188, 43318, 62095, 67401, 68736

Offset

1,1

Comments

First term is the last term of A316667. Next terms are given by repeatedly blocking the squares where the knight would not have any available moves.

Plotting the terms on XY-plane seems to show a clear pattern where most of the points only land on certain directions from the center.

Inspired by A316667 and comments on N. J. A. Sloane and Brady Haran, The Trapped Knight, Numberphile video (2019).

Links

Sami Mäki, Table of n, a(n) for n = 1..4000

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

Crossrefs

Cf. A316667, A323808.

Sequence in context: A323813 A323472 A224438 * A343179 A323750 A323471

Adjacent sequences: A323711 A323712 A323713 * A323715 A323716 A323717

Keyword

nonn,look

Author

Sami Mäki, Jan 25 2019

Status

approved