A259720 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011

312, 556, 1244, 2218, 3120, 7076, 13920, 21398, 42208, 89194, 149000, 268204, 564516, 1024388, 1778248, 3578760, 6862832, 12025406, 23011356, 45100872, 81318516, 150518778, 293879516, 545191574, 996711856, 1914996584, 3620486244

Offset

1,1

Comments

Column 5 of A259723

Links

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

Formula

Empirical: a(n) = 8*a(n-3) +15*a(n-4) -22*a(n-6) -92*a(n-7) -98*a(n-8) +28*a(n-9) +206*a(n-10) +450*a(n-11) +373*a(n-12) -220*a(n-13) -808*a(n-14) -1314*a(n-15) -956*a(n-16) +726*a(n-17) +1849*a(n-18) +2534*a(n-19) +1881*a(n-20) -1358*a(n-21) -2690*a(n-22) -3590*a(n-23) -3186*a(n-24) +1596*a(n-25) +2896*a(n-26) +4054*a(n-27) +4546*a(n-28) -1350*a(n-29) -2493*a(n-30) -3336*a(n-31) -4943*a(n-32) +904*a(n-33) +1403*a(n-34) +1606*a(n-35) +3667*a(n-36) -382*a(n-37) -410*a(n-38) -346*a(n-39) -1710*a(n-40) +80*a(n-41) +42*a(n-42) -38*a(n-43) +465*a(n-44) +6*a(n-46) +36*a(n-47) -64*a(n-48) -4*a(n-51) +3*a(n-52)

Example

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

Crossrefs

Cf. A259723

Sequence in context: A308002 A112542 A238099 * A011774 A011251 A043360

Adjacent sequences: A259717 A259718 A259719 * A259721 A259722 A259723

Keyword

nonn

Author

R. H. Hardin, Jul 03 2015

Status

approved