A260470 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

103, 213, 658, 1723, 4607, 13198, 36254, 98246, 272542, 752720, 2061534, 5677324, 15656100, 43045526, 118431170, 326172286, 897659278, 2470110390, 6799627354, 18715886532, 51508911086, 141773805068, 390225182152, 1074023884216

Offset

1,1

Comments

Column 3 of A260475

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +10*a(n-3) +4*a(n-4) -2*a(n-5) -12*a(n-6) -5*a(n-7) -2*a(n-8) +4*a(n-9) +4*a(n-10) -8*a(n-11) -10*a(n-12) -8*a(n-13) +8*a(n-14) -a(n-16) +3*a(n-17) +2*a(n-18) +2*a(n-19) for n>22

Example

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

Crossrefs

Cf. A260475

Sequence in context: A142360 A044335 A044716 * A134551 A140006 A142911

Adjacent sequences: A260467 A260468 A260469 * A260471 A260472 A260473

Keyword

nonn

Author

R. H. Hardin, Jul 26 2015

Status

approved