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

284, 805, 2532, 6157, 13562, 39209, 112570, 265595, 662116, 1906817, 4983158, 12082675, 32339598, 88603673, 223563456, 569090083, 1539186674, 4049079097, 10269959842, 26926828037, 71786606702, 185590064541, 478561927772

Offset

1,1

Comments

Column 3 of A260001

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=4
..0..1..0..0..0....0..0..0..1..0....0..0..0..0..0....0..0..1..0..0
..0..0..0..0..0....0..0..0..1..0....0..0..0..1..0....0..0..1..0..0
..0..0..0..0..1....1..0..0..0..0....0..0..1..0..0....0..0..0..0..0
..1..1..0..0..0....1..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..1..0..0..1....0..0..0..1..0....0..0..0..0..0....0..1..0..0..1
..0..0..0..0..1....0..0..0..1..0....0..0..1..0..0....0..1..0..0..1

Crossrefs

Cf. A260001

Sequence in context: A356219 A061310 A333930 * A092681 A090789 A234970

Adjacent sequences: A259993 A259994 A259995 * A259997 A259998 A259999

Keyword

nonn

Author

R. H. Hardin, Jul 12 2015

Status

approved