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A208463 Number of nX4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

%I A208463 #7 Jul 22 2025 21:22:29
%S A208463 15,4041,4132120,10318694804,51074630353994,441285917587055633,
%T A208463 6105599904286957450405,127076755601333057601660992,
%U A208463 3793882208792084308313815728802,156506565477239116898837571013067198
%N A208463 Number of nX4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
%C A208463 Column 4 of A208466
%H A208463 R. H. Hardin, <a href="/A208463/b208463.txt">Table of n, a(n) for n = 1..47</a>
%e A208463 Some solutions for n=4
%e A208463 ..0..0..0..0....0..0..0..1....0..0..1..0....0..0..0..0....0..0..0..0
%e A208463 ..0..1..0..0....0..1..0..0....0..0..0..0....1..0..1..1....1..0..1..1
%e A208463 ..0..0..1..0....0..0..1..0....0..1..0..2....0..1..2..0....0..2..0..0
%e A208463 ..1..0..0..0....0..1..0..1....1..0..0..0....0..0..0..0....0..0..1..0
%K A208463 nonn
%O A208463 1,1
%A A208463 _R. H. Hardin_ Feb 27 2012