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 A252954 Number of (n+2)X(1+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order 1

%I

%S 60,140,297,711,1543,3461,7637,16689,35609,78429,165847,353699,759497,

%T 1602963,3361709,7188651,14983771,31325141,66287453,137719185,

%U 285727121,602441997,1243951375,2572947779,5396750465,11110939203,22884164645

%N Number of (n+2)X(1+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Column 1 of A252961

%H R. H. Hardin, <a href="/A252954/b252954.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -10*a(n-2) +10*a(n-3) -61*a(n-4) +124*a(n-5) +45*a(n-6) -182*a(n-7) -54*a(n-8) -570*a(n-9) +2205*a(n-10) -2268*a(n-11) +756*a(n-12) for n>15

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014

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Last modified January 26 18:26 EST 2022. Contains 350599 sequences. (Running on oeis4.)