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A252858 Number of (n+2)X(5+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order 1

%I #4 Dec 23 2014 15:46:46

%S 4383,2502,3582,7002,14229,28728,58644,119727,245016,501462,1027503,

%T 2103156,4308210,8823537,18075114,37017972,75824523,155304774,

%U 318115530,651566331,1334582154,2733553872,5599070757,11468280366,23490006084

%N Number of (n+2)X(5+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Column 5 of A252861

%H R. H. Hardin, <a href="/A252858/b252858.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-4) -4*a(n-5) -7*a(n-6) -a(n-7) +3*a(n-8) +9*a(n-9) -3*a(n-10) -3*a(n-11) -2*a(n-12) +2*a(n-14) +a(n-15) -a(n-16) for n>18

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 23 2014

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)