A259891 - OEIS

%I #4 Jul 07 2015 10:38:23

%S 936,4662,40435,202632,863502,5055255,28982771,144514845,753909576,

%T 4156538339,22079571360,115439403732,616985118609,3302552685297,

%U 17486869963737,92800385304502,494726612194783,2631317292421710

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011

%C Column 5 of A259894

%H R. H. Hardin, <a href="/A259891/b259891.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +70*a(n-3) +98*a(n-4) -298*a(n-5) -1036*a(n-6) -4342*a(n-7) -5835*a(n-8) +18804*a(n-9) +43980*a(n-10) +85735*a(n-11) +63577*a(n-12) -270285*a(n-13) -458233*a(n-14) -652872*a(n-15) -379824*a(n-16) +1159084*a(n-17) +1605003*a(n-18) +2054380*a(n-19) +1513808*a(n-20) -1410493*a(n-21) -1630016*a(n-22) -2053913*a(n-23) -1770221*a(n-24) +1119731*a(n-25) +729077*a(n-26) +791754*a(n-27) +960600*a(n-28) -495745*a(n-29) -205791*a(n-30) -131111*a(n-31) -258913*a(n-32) +87189*a(n-33) +32170*a(n-34) +3190*a(n-35) +29291*a(n-36) -3273*a(n-37) -1398*a(n-38) +236*a(n-39) -1078*a(n-40) +41*a(n-41) -10*a(n-42) -5*a(n-43) +8*a(n-44)

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A259894

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2015