A323469 On a spirally numbered square grid, with labels starting at 1, this is the number of steps that a (1,n) leaper makes before getting trapped, or -1 if it never gets trapped.

-1, 2016, 3723, 13103, 14570, 26967, 101250, 158735, 132688, 220439, 144841, 646728, 350720, 66183, 75259, 248764, 118694, 307483, 238208, 189159, 139639, 183821, 151016, 171076, 114187, 262235, 178612, 257632, 124475, 178862, 143674, 196795, 60707, 309820

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: A189188 A076582 A323749 * A343178 A125491 A166818

Adjacent sequences: A323466 A323467 A323468 * A323470 A323471 A323472

Keyword

sign

Author

N. J. A. Sloane, Jan 28 2019

Extensions

More terms from Rémy Sigrist, Jan 29 2019

Status

approved