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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.
1
4, 10, 16, 28, 36, 52, 64, 82, 100
OFFSET
1,1
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.
FORMULA
If n is odd, a(n) = (n+1)^2. If n is even, a(n) > (n+1)^2. (Escamocher and O'Sullivan 2021)
CROSSREFS
Cf. A343905.
Sequence in context: A132227 A036063 A112984 * A191115 A073121 A167346
KEYWORD
nonn,more
AUTHOR
STATUS
approved