A204969 - OEIS

A204969

Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order.

%I #7 Feb 22 2025 18:46:23

%S 1323027,112737183,9424549410,768548149208,63103000253312,

%T 5180662454351231,425238528169304434,34906348538365510939,

%U 2865321263251384210972,235202524781087075942361

%N Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order.

%C Column 6 of A204971.

%H R. H. Hardin, <a href="/A204969/b204969.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A204971.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2012