A323471 On a spirally numbered square grid, with labels starting at 1, this is the number of the last cell that a (1,n) leaper reaches before getting trapped, or -1 if it never gets trapped.

-1, 2084, 7081, 10847, 25963, 22421, 202891, 142679, 252953, 188501, 257479, 604328, 667827, 57217, 115497, 231930, 203331, 283651, 426851, 153521, 231299, 142267, 236487, 149872, 204527, 215033, 285983, 188082, 153461, 128802, 213853, 202259, 94967, 224778

Offset

1,2

Comments

A (1,2) leaper is a chess knight.

a(2)-a(5) were computed by Daniël Karssen.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..1000

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

Crossrefs

The sequences involved in this set of related sequences are A316884, A316967, A316667, A316328, A317106, A317105, A317416, A317415, A317438, A317437, and A323469, A323470, A323471, A323472.

Sequence in context: A323714 A343179 A323750 * A251225 A306421 A201917

Adjacent sequences: A323468 A323469 A323470 * A323472 A323473 A323474

Keyword

sign

Author

N. J. A. Sloane, Jan 28 2019

Extensions

More terms from Rémy Sigrist, Jan 29 2019

Status

approved