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Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo 5 and the upper left element equal to 0.
0

%I #5 Aug 12 2016 06:54:00

%S 1,1,2,2,36,264,1223,4462,14328,55017,305712,2436601,19006535,

%T 123949281,690092171,3461268856,16984062800,90079107517,548487219149,

%U 3658610091214,24346275430333,153077920654892

%N Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo 5 and the upper left element equal to 0.

%C Row 5 of A267338.

%e Some solutions for n=5

%e ..0..0..1..2..3....0..1..2..3..4....0..1..2..3..4....0..1..2..3..4

%e ..0..1..2..3..4....1..2..3..4..0....0..1..2..3..4....1..2..3..4..0

%e ..1..1..2..3..4....2..3..4..0..1....0..1..2..3..4....1..2..3..4..0

%e ..1..2..3..4..0....3..4..0..1..2....0..1..2..3..4....2..3..4..0..1

%e ..2..3..4..4..0....4..0..1..2..3....0..1..2..3..4....3..4..0..1..2

%Y Cf. A267338.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 13 2016