A261289 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101.

307, 409, 1086, 2586, 6996, 17094, 48435, 115722, 323733, 784568, 2200256, 5297320, 14860295, 35870866, 100565666, 242543592, 680254258, 1640988402, 4601509246, 11100042154, 31128297887, 75088246466, 210566880369, 507941745824

Offset

1,1

Comments

Column 5 of A261292.

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +24*a(n-4) +17*a(n-6) -51*a(n-8) +22*a(n-10) -9*a(n-12) -7*a(n-14) +132*a(n-16) -142*a(n-18) +19*a(n-20) +91*a(n-22) -46*a(n-24) -157*a(n-26) +278*a(n-28) -211*a(n-30) +50*a(n-32) -8*a(n-34) +12*a(n-36) for n>41

Example

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

Crossrefs

Cf. A261292.

Sequence in context: A282594 A050201 A142376 * A142255 A309101 A098042

Adjacent sequences: A261286 A261287 A261288 * A261290 A261291 A261292

Keyword

nonn

Author

R. H. Hardin, Aug 14 2015

Status

approved