A252845 - OEIS

A252845

Number of (1+2)X(n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order

%I #4 Dec 22 2014 20:34:37

%S 1305,15395,175204,2045858,23788014,277324636,3231587589,37668251387,

%T 439059475960,5117820299952,59655081232232,695361723264101,

%U 8105403729361748,94479728193131557,1101292442347401777

%N Number of (1+2)X(n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order

%C Row 1 of A252844

%H R. H. Hardin, <a href="/A252845/b252845.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252845/a252845.txt">Empirical recurrence of order 96</a>

%F Empirical recurrence of order 96 (see link above)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 22 2014