A343907 a(n) is the least s > 1 for which it is possible to place s nonattacking range-n leprechauns on an s X s board.

4, 10, 16, 28, 36, 52, 64, 82, 100

Offset: 1

Author

Guillaume Escamocher, May 03 2021

Keywords

• nonn
• more

Comments

A range-n leprechaun is a fairy chess piece that can move to any square within range n, and to any square that a queen can move to. A range-1 leprechaun is a queen and a range-2 leprechaun is a superqueen. (Escamocher and O'Sullivan 2021)

Links

• Guillaume Escamocher and Barry O'Sullivan, Leprechauns on the chessboard, Discrete Mathematics, 344(5), 2021.

Crossrefs

Cf. A343905.

Formula

If n is odd, a(n) = (n+1)^2. If n is even, a(n) > (n+1)^2. (Escamocher and O'Sullivan 2021)