A253695 - OEIS

%I #4 Jan 09 2015 08:46:43

%S 680,540,618,992,1632,2386,4180,6552,10696,18236,28352,47594,80548,

%T 128248,216740,356714,584026,981652,1609356,2663806,4459244,7313942,

%U 12171062,20237510,33418882,55628622,92193244,152691570,254244632

%N Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

%C Column 5 of A253698

%H R. H. Hardin, <a href="/A253695/b253695.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +2*a(n-3) +4*a(n-4) +2*a(n-5) -7*a(n-6) -17*a(n-7) -7*a(n-8) -8*a(n-9) -10*a(n-10) +38*a(n-11) +42*a(n-12) +3*a(n-13) +28*a(n-14) +a(n-15) -60*a(n-16) -17*a(n-17) -16*a(n-18) -40*a(n-19) +14*a(n-20) +20*a(n-21) -a(n-22) +16*a(n-23) +8*a(n-24) +4*a(n-26) for n>31

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015