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Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.
1

%I #6 Mar 24 2023 10:27:03

%S 24156,113666,581756,3840512,24612244,178269116,1293718300,

%T 10243412736,83539101944,726030071196,6523835568272,61001852606952,

%U 583875017617376,5708286244788676,56533338152109484,565648200914302292

%N Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12.

%C Column 6 of A234114.

%H R. H. Hardin, <a href="/A234112/b234112.txt">Table of n, a(n) for n = 1..124</a>

%e Some solutions for n=2

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

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

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

%Y Cf. A234114.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013