login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of (n+1)X5 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order
1

%I #5 Mar 31 2012 12:37:05

%S 132,340,824,2144,5424,14072,35928,92736,237864,612368,1573928,

%T 4047688,10411512,26767752,68864896,177055904,455490384,1171235368,

%U 3012822192,7747956384,19928887784,51254241064,131827156016,339054785000

%N Number of (n+1)X5 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order

%C Column 4 of A205226

%H R. H. Hardin, <a href="/A205222/b205222.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-2) -13*a(n-3) -98*a(n-4) +63*a(n-5) +280*a(n-6) -128*a(n-7) -352*a(n-8) +52*a(n-9) +150*a(n-10) +104*a(n-11) -72*a(n-12) +16*a(n-13) -8*a(n-14) for n>16

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 23 2012