A260836 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101

188, 288, 700, 1224, 1560, 3470, 6908, 10070, 18716, 39478, 64940, 111162, 228324, 409632, 690964, 1345662, 2532216, 4354216, 8095220, 15462342, 27373920, 49529004, 94027168, 170716994, 306172260, 572849570, 1056328308, 1900057106

Offset

1,1

Comments

Column 3 of A260841

Links

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

Formula

Empirical: a(n) = 6*a(n-3) +6*a(n-4) -9*a(n-6) -16*a(n-7) -10*a(n-8) +4*a(n-9) +7*a(n-10) +6*a(n-12) +8*a(n-14) +10*a(n-15) +2*a(n-16) +4*a(n-17) +4*a(n-19) +3*a(n-20) +2*a(n-22) for n>24

Example

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

Crossrefs

Cf. A260841

Sequence in context: A353539 A243077 A186397 * A304279 A099945 A211814

Adjacent sequences: A260833 A260834 A260835 * A260837 A260838 A260839

Keyword

nonn

Author

R. H. Hardin, Aug 01 2015

Status

approved