login
Number of one-sided n-celled polyknights.
5

%I #13 Jan 13 2023 06:32:35

%S 1,2,8,68,550,5328,52484,534793,5513338,57494308,604212943,6392547793,

%T 68014392915

%N Number of one-sided n-celled polyknights.

%C A polyknight is a variant of a polyomino in which two tiles a knight's move apart are considered adjacent. A polyknight need not be connected in the sense of a polyomino.

%e The 2 polyknights with 2 cells:

%e X.. ..X

%e ..X X..

%e The 8 polyknights with 3 cells:

%e X. X.. X.. X... X.X .X. .X. X...

%e .. ... ..X .... ... X.. ..X ...X

%e .X .X. ... .X.. .X. ..X X.. .X..

%e .. ... .X. ...X

%e X. ..X

%Y Cf. A030444, A030446, A030447, A030448.

%K nonn,nice,more

%O 1,2

%A _David W. Wilson_

%E Corrected and extended by _Joseph Myers_, May 21 2004

%E a(12)-a(13) from _John Mason_, Jan 13 2023