A260137 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

1880, 8998, 61914, 266156, 1340176, 7839850, 39696994, 200149838, 1081436482, 5672351526, 29202675242, 153702924266, 807944925446, 4206057040818, 22004575402798, 115383468865762, 603019794931990, 3152862366134910

Offset

1,1

Comments

Column 7 of A260138

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +112*a(n-3) +101*a(n-4) -58*a(n-5) -3612*a(n-6) -5370*a(n-7) -1040*a(n-8) +60962*a(n-9) +85530*a(n-10) +30213*a(n-11) -547937*a(n-12) -706102*a(n-13) -360232*a(n-14) +3054976*a(n-15) +3266750*a(n-16) +2000118*a(n-17) -11214142*a(n-18) -9189754*a(n-19) -5342978*a(n-20) +29875060*a(n-21) +16617176*a(n-22) +7719994*a(n-23) -60637752*a(n-24) -23269512*a(n-25) -8579728*a(n-26) +86059704*a(n-27) +26401696*a(n-28) +13602048*a(n-29) -78987136*a(n-30) -15397504*a(n-31) -14402976*a(n-32) +45323648*a(n-33) +2566528*a(n-34) +3310848*a(n-35) -17071872*a(n-36) -67584*a(n-37) +1142784*a(n-38) +4982784*a(n-39) +399360*a(n-40) -516096*a(n-42) for n>44

Example

Some solutions for n=3
..0..1..0..0..0..1..1..1..0....0..1..0..1..0..1..0..1..1
..1..0..1..0..1..0..1..0..1....1..0..1..1..1..0..1..0..1
..0..1..0..1..0..1..0..1..0....0..1..0..1..0..1..0..1..0
..1..0..1..0..0..0..1..1..1....0..0..1..0..1..0..1..0..1
..0..0..0..1..0..1..0..1..0....0..1..0..0..0..1..0..1..0

Crossrefs

Cf. A260138

Sequence in context: A358147 A235193 A072494 * A246478 A237103 A222799

Adjacent sequences: A260134 A260135 A260136 * A260138 A260139 A260140

Keyword

nonn

Author

R. H. Hardin, Jul 17 2015

Status

approved