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A259996 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101 1

%I #4 Jul 12 2015 10:21:38

%S 284,805,2532,6157,13562,39209,112570,265595,662116,1906817,4983158,

%T 12082675,32339598,88603673,223563456,569090083,1539186674,4049079097,

%U 10269959842,26926828037,71786606702,185590064541,478561927772

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101

%C Column 3 of A260001

%H R. H. Hardin, <a href="/A259996/b259996.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-3) +22*a(n-4) -31*a(n-6) -66*a(n-7) +42*a(n-8) +22*a(n-9) +114*a(n-10) -169*a(n-11) +417*a(n-12) -218*a(n-13) +439*a(n-14) -585*a(n-15) -36*a(n-16) -74*a(n-17) +54*a(n-18) +90*a(n-19) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260001

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2015

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Last modified May 30 01:30 EDT 2024. Contains 372954 sequences. (Running on oeis4.)