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Number of (n+1) X 5 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing rightwards and downwards.
1

%I #7 Jun 22 2022 02:09:18

%S 319784,61330824,9355289120,1235093642064,148812223113936,

%T 16821962566961468,1815101219263424368,189063838791570094396,

%U 19160494324515331059260,1900000815802284473378920

%N Number of (n+1) X 5 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing rightwards and downwards.

%C Column 4 of A205935.

%H R. H. Hardin, <a href="/A205931/b205931.txt">Table of n, a(n) for n = 1..29</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A205935.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2012