A260978 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

2755, 1873, 2576, 5506, 9144, 18706, 30418, 62878, 107802, 218342, 372200, 752768, 1301722, 2647272, 4577194, 9211590, 16034066, 32273054, 56601764, 112913040, 198964362, 395528584, 701501654, 1386971610, 2469037804, 4864090436

Offset

1,1

Comments

Column 6 of A260980

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +4*a(n-4) +5*a(n-5) -24*a(n-6) -16*a(n-7) -5*a(n-8) -19*a(n-9) +45*a(n-10) +52*a(n-11) +93*a(n-12) +99*a(n-13) -146*a(n-14) -41*a(n-15) -248*a(n-16) -361*a(n-17) -18*a(n-18) +74*a(n-19) +403*a(n-20) +114*a(n-21) +370*a(n-22) +526*a(n-23) -274*a(n-24) -928*a(n-25) -347*a(n-26) +126*a(n-27) -792*a(n-28) -714*a(n-29) +668*a(n-30) +1443*a(n-31) -752*a(n-32) +268*a(n-33) +1848*a(n-34) -636*a(n-35) -1068*a(n-36) +1048*a(n-37) +576*a(n-38) -1660*a(n-39) -320*a(n-40) +808*a(n-41) -32*a(n-42) -380*a(n-43) +16*a(n-44) +192*a(n-45) for n>51

Example

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

Crossrefs

Cf. A260980

Sequence in context: A117081 A164065 A014487 * A043665 A198451 A205288

Adjacent sequences: A260975 A260976 A260977 * A260979 A260980 A260981

Keyword

nonn

Author

R. H. Hardin, Aug 06 2015

Status

approved