login
Number of (n+1)X(n+1) arrays of permutations of 0..(n+1)^2-1 filled by rows with each element moved a city block distance of 0 or 1.
0

%I #6 Nov 10 2015 12:11:56

%S 3,35,2076,489294,529329240,2543460828164,55588636099730695,

%T 5525569263450576586033

%N Number of (n+1)X(n+1) arrays of permutations of 0..(n+1)^2-1 filled by rows with each element moved a city block distance of 0 or 1.

%C Diagonal of A263519.

%e Some solutions for n=3

%e ..0..1..3..7....0..1..6..7....0..1..6..7....0..1..2..3....0..1..3..7

%e ..8..4..2..6....5..4..2..3....4..5..2..3....4..6..5..7....4..5..2..6

%e .12..5.11.10....8.13.14.10....8..9.10.11....9..8.11.10....9..8.11.10

%e .13..9.14.15...12..9.15.11...12.13.14.15...13.12.15.14...13.12.14.15

%Y Cf. A263519.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 19 2015