A260014 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101

1744, 6262, 56137, 292422, 1231648, 5674360, 33390411, 166527544, 840032861, 4030790792, 21851751619, 107051545804, 560817409385, 2718986093568, 14479118145265, 70576014066146, 372877924721591, 1812602181447164

Offset

1,1

Comments

Column 7 of A260015

Links

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

Formula

Empirical: a(n) = 10*a(n-2) +517*a(n-4) -854*a(n-6) -56990*a(n-8) +56302*a(n-10) +2411527*a(n-12) -1764472*a(n-14) -48498069*a(n-16) +26093894*a(n-18) +497994124*a(n-20) -222182908*a(n-22) -2758508017*a(n-24) +1071537624*a(n-26) +8550609072*a(n-28) -2818367318*a(n-30) -15204425329*a(n-32) +4059654344*a(n-34) +15566932977*a(n-36) -3209525858*a(n-38) -8958017542*a(n-40) +1356965078*a(n-42) +2746526451*a(n-44) -272931138*a(n-46) -410312169*a(n-48) +21549240*a(n-50) +26177904*a(n-52) -653184*a(n-54) -559872*a(n-56) for n>57

Example

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

Crossrefs

Cf. A260015

Sequence in context: A185942 A090837 A250466 * A190829 A038010 A362875

Adjacent sequences: A260011 A260012 A260013 * A260015 A260016 A260017

Keyword

nonn

Author

R. H. Hardin, Jul 13 2015

Status

approved