A260172 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001

183, 419, 1054, 2598, 6813, 17889, 46263, 119681, 316052, 821743, 2142670, 5594790, 14648190, 38111650, 99634628, 260110994, 679357192, 1771602718, 4630032186, 12081675926, 31547816516, 82338811496, 215053875128, 561241973258

Offset

1,1

Comments

Column 3 of A260177

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +3*a(n-3) +14*a(n-4) -a(n-5) +18*a(n-6) +51*a(n-7) -28*a(n-8) -89*a(n-9) +185*a(n-10) -62*a(n-11) -246*a(n-12) +30*a(n-13) -128*a(n-14) -113*a(n-15) +80*a(n-16) -301*a(n-17) -83*a(n-18) -50*a(n-19) -118*a(n-20) +118*a(n-21) +48*a(n-22) -86*a(n-23) +38*a(n-24) +30*a(n-25) -6*a(n-26) +2*a(n-27) -4*a(n-30) for n>31

Example

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

Crossrefs

Cf. A260177

Sequence in context: A147270 A147124 A261110 * A252070 A370089 A193253

Adjacent sequences: A260169 A260170 A260171 * A260173 A260174 A260175

Keyword

nonn

Author

R. H. Hardin, Jul 17 2015

Status

approved