A260365 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

208, 342, 912, 2014, 2532, 5806, 13632, 20576, 39376, 91830, 156768, 279744, 621988, 1154372, 2028560, 4261442, 8304084, 14800068, 29615732, 58935832, 107612892, 208478370, 415856628, 777318530, 1480611488, 2931957688, 5578603544

Offset

1,1

Comments

Column 3 of A260370

Links

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

Formula

Empirical: a(n) = 6*a(n-3) +11*a(n-4) -3*a(n-6) -46*a(n-7) -50*a(n-8) -10*a(n-9) +29*a(n-10) +148*a(n-11) +136*a(n-12) +12*a(n-13) -113*a(n-14) -228*a(n-15) -260*a(n-16) +10*a(n-17) +203*a(n-18) +200*a(n-19) +295*a(n-20) +8*a(n-21) -104*a(n-22) -80*a(n-23) -161*a(n-24) -16*a(n-25) +12*a(n-26) +4*a(n-27) +16*a(n-28) for n>30

Example

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

Crossrefs

Cf. A260370

Sequence in context: A123136 A092153 A283152 * A131686 A235273 A255082

Adjacent sequences: A260362 A260363 A260364 * A260366 A260367 A260368

Keyword

nonn

Author

R. H. Hardin, Jul 23 2015

Status

approved