A260244 - OEIS

%I #6 Aug 19 2022 14:06:07

%S 635,1235,3287,5733,14045,42143,85491,178543,492457,1191315,2445353,

%T 5956161,15293067,33742487,75896973,191097599,450742619,1002739961,

%U 2404247583,5842913003,13329225455,30884432185,74706438775,175270605465

%N Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.

%C Column 4 of A260248.

%H R. H. Hardin, <a href="/A260244/b260244.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-3) +19*a(n-4) +6*a(n-5) -68*a(n-6) -155*a(n-7) -159*a(n-8) +51*a(n-9) +488*a(n-10) +727*a(n-11) +604*a(n-12) -416*a(n-13) -1228*a(n-14) -1897*a(n-15) -678*a(n-16) +24*a(n-17) +2380*a(n-18) +2386*a(n-19) +3096*a(n-20) -1701*a(n-21) -5002*a(n-22) -8742*a(n-23) -717*a(n-24) +7855*a(n-25) +11980*a(n-26) +1057*a(n-27) -6122*a(n-28) -7163*a(n-29) -3418*a(n-30) -2083*a(n-31) -968*a(n-32) -530*a(n-33) +734*a(n-34) +514*a(n-35) +1238*a(n-36) +874*a(n-37) +152*a(n-38) -58*a(n-39) -209*a(n-40) -66*a(n-41) -20*a(n-42) +9*a(n-43) -5*a(n-44) -2*a(n-45) for n>47.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260248.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2015