login
Number of (n+2)X8 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.
1

%I #9 Oct 03 2025 03:28:40

%S 140871930232,16059530994398,995828085723859,42174821764604242,

%T 1345005095452611398,34184079614729409659,719176668433423037034,

%U 12873752982804494965778,200226675186485305381447

%N Number of (n+2)X8 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order.

%C Column 6 of A186180

%H R. H. Hardin, <a href="/A186177/b186177.txt">Table of n, a(n) for n = 1..125</a>

%e Some solutions for 4X8

%e ..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..3

%e ..0..0..0..0..0..0..1..5....0..0..0..0..0..0..1..4....0..0..0..0..0..0..1..3

%e ..0..0..0..0..0..0..3..5....0..0..0..0..0..0..5..1....0..0..0..0..0..0..4..2

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2011