A260138 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

36, 58, 58, 138, 128, 138, 266, 342, 342, 266, 472, 730, 1162, 730, 472, 944, 1626, 2966, 2966, 1626, 944, 1880, 3928, 7698, 8292, 7698, 3928, 1880, 3562, 8998, 22522, 24696, 24696, 22522, 8998, 3562, 6866, 20376, 61914, 85048, 89000, 85048, 61914, 20376

Offset

1,1

Comments

Table starts

....36.....58.....138.....266......472.......944.......1880........3562

....58....128.....342.....730.....1626......3928.......8998.......20376

...138....342....1162....2966.....7698.....22522......61914......165954

...266....730....2966....8292....24696.....85048.....266156......813540

...472...1626....7698...24696....89000....365308....1340176.....4872072

...944...3928...22522...85048...365308...1799114....7839850....33893514

..1880...8998...61914..266156..1340176...7839850...39696994...200149838

..3562..20376..165954..813540..4872072..33893514..200149838..1187010782

..6866..47424..462030.2626092.18722120.155470816.1081436482..7587636740

.13450.109650.1279574.8360396.70481648.697051946.5672351526.46772091478

Links

R. H. Hardin, Table of n, a(n) for n = 1..647

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +3*a(n-3) +a(n-4) for n>5

k=2: a(n) = a(n-1) +a(n-2) +5*a(n-3) +a(n-4) -3*a(n-5) -3*a(n-6) for n>7

k=3: [order 9] for n>10

k=4: [order 12] for n>13

k=5: [order 24] for n>25

k=6: [order 30] for n>32

k=7: [order 42] for n>44

Example

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

Crossrefs

Sequence in context: A187989 A080469 A341283 * A260131 A320632 A368832

Adjacent sequences: A260135 A260136 A260137 * A260139 A260140 A260141

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 17 2015

Status

approved