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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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 A188633

Adjacent sequences:  A260135 A260136 A260137 * A260139 A260140 A260141

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 17 2015

STATUS

approved

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)