A261290 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101.

540, 743, 2104, 6034, 17094, 51268, 153144, 446786, 1313726, 3893926, 11482268, 33790756, 99697166, 294209526, 867275046, 2557044420, 7542082102, 22241722888, 65583553668, 193403914160, 570355004810, 1681918109826, 4959816097134

Offset

1,1

Comments

Column 6 of A261292.

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-3) +18*a(n-4) +14*a(n-5) +19*a(n-6) -13*a(n-7) -65*a(n-8) -40*a(n-9) +21*a(n-10) +45*a(n-11) +11*a(n-12) -36*a(n-13) -113*a(n-14) -28*a(n-15) +189*a(n-16) -151*a(n-17) -300*a(n-18) +306*a(n-19) +333*a(n-20) -73*a(n-21) +112*a(n-22) -90*a(n-23) -484*a(n-24) -221*a(n-25) -485*a(n-26) -39*a(n-27) +1517*a(n-28) +362*a(n-29) -1282*a(n-30) +71*a(n-31) +500*a(n-32) -205*a(n-33) +106*a(n-34) +105*a(n-35) -45*a(n-36) -15*a(n-37) -140*a(n-38) -42*a(n-39) -28*a(n-40) -16*a(n-41) for n>48

Example

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

Crossrefs

Cf. A261292.

Sequence in context: A252386 A289221 A345390 * A253463 A255105 A298685

Adjacent sequences: A261287 A261288 A261289 * A261291 A261292 A261293

Keyword

nonn

Author

R. H. Hardin, Aug 14 2015

Status

approved