A259889 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011

215, 653, 3511, 13373, 40435, 151483, 595513, 2101769, 7434765, 27615849, 101238339, 364229615, 1323891453, 4841497755, 17598175493, 63882224753, 232605289739, 846849589145, 3078975889701, 11198709862663, 40752724559215

Offset

1,1

Comments

Column 3 of A259894

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +18*a(n-3) +41*a(n-4) -a(n-5) -34*a(n-6) -98*a(n-7) -194*a(n-8) -5*a(n-9) +94*a(n-10) +37*a(n-11) +97*a(n-12) +21*a(n-13) -12*a(n-14) +2*a(n-15) -4*a(n-16)

Example

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

Crossrefs

Cf. A259894

Sequence in context: A063358 A193398 A193396 * A362201 A137205 A091289

Adjacent sequences: A259886 A259887 A259888 * A259890 A259891 A259892

Keyword

nonn

Author

R. H. Hardin, Jul 07 2015

Status

approved