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A343905
Number of ways of placing n nonattacking range-3 leprechauns on an n X n board.
1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 34, 4, 112, 516, 7312, 81324, 1056560, 13443944, 171919446, 2195838076, 28876216900, 379982087060
OFFSET
1,16
COMMENTS
First 25 terms were computed by Vaclav Kotesovec in 2020.
A range-k leprechaun is a fairy chess piece that can move to any square within range k, and to any square that a queen can move to (Escamocher and O'Sullivan 2021). A range-1 leprechaun is a queen, a range-2 leprechaun is a superqueen.
LINKS
Guillaume Escamocher and Barry O'Sullivan, Leprechauns on the chessboard, Discrete Mathematics, 344(5), 2021.
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
EXTENSIONS
a(26)-a(27) from Martin Ehrenstein, May 06 2021
a(26) confirmed by Vaclav Kotesovec, Jun 07 2021
a(28) from Martin Ehrenstein, Oct 14 2021
STATUS
approved