A259949 - OEIS

%I #4 Jul 10 2015 07:07:37

%S 801,4128,30351,141619,631626,3451108,18564547,92159926,465579244,

%T 2426793925,12493718508,63615992133,326137871580,1677931148622,

%U 8603497730864,44072130840744,226114843492646,1160274814296495

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

%C Column 5 of A259952

%H R. H. Hardin, <a href="/A259949/b259949.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +34*a(n-3) +158*a(n-4) -200*a(n-5) -398*a(n-6) -1320*a(n-7) -3859*a(n-8) +3564*a(n-9) +2523*a(n-10) +19633*a(n-11) +42806*a(n-12) -31390*a(n-13) +29533*a(n-14) -124801*a(n-15) -218738*a(n-16) +123198*a(n-17) -271189*a(n-18) +415853*a(n-19) +378986*a(n-20) -99555*a(n-21) +570496*a(n-22) -648015*a(n-23) -174016*a(n-24) -112063*a(n-25) -299779*a(n-26) +320037*a(n-27) +86070*a(n-28) +22830*a(n-29) +30933*a(n-30) -80837*a(n-31) -26621*a(n-32) +14225*a(n-33) +4337*a(n-34) -722*a(n-35) +239*a(n-36) +807*a(n-37) +390*a(n-38) -72*a(n-39) -72*a(n-40) for n>41

%e Some solutions for n=4

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

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

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

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

%Y Cf. A259952

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015