A261113 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

28, 33, 33, 63, 52, 63, 97, 106, 106, 97, 183, 206, 278, 206, 183, 289, 402, 566, 566, 402, 289, 547, 790, 1408, 1498, 1408, 790, 547, 865, 1546, 2902, 3908, 3908, 2902, 1546, 865, 1639, 3026, 7284, 10268, 13040, 10268, 7284, 3026, 1639, 2593, 5928, 14942

Offset

1,1

Comments

Table starts

...28....33....63.....97.....183......289.......547.......865.......1639

...33....52...106....206.....402......790......1546......3026.......5928

...63...106...278....566....1408.....2902......7284.....14942......37432

...97...206...566...1498....3908....10268.....27030.....70980.....186290

..183...402..1408...3908...13040....35934....121313....333722....1122579

..289...790..2902..10268...35934...127038....449132...1582692....5580762

..547..1546..7284..27030..121313...449132...2037285...7510472...33972401

..865..3026.14942..70980..333722..1582692...7510472..35551388..168309738

.1639..5928.37432.186290.1122579..5580762..33972401.168309738.1021480084

.2593.11610.76838.489516.3092874.19696792.125487988.797425262.5068545938

Links

R. H. Hardin, Table of n, a(n) for n = 1..1012

Formula

Empirical for column k:

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

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

k=3: a(n) = 3*a(n-2) +10*a(n-4) +5*a(n-6) +2*a(n-8) -2*a(n-10) +a(n-12) for n>13

k=4: [order 13] for n>14

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

k=6: [order 27] for n>28

k=7: [order 48] for n>49

Example

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

Crossrefs

Sequence in context: A232766 A230855 A090637 * A280649 A134657 A261106

Adjacent sequences: A261110 A261111 A261112 * A261114 A261115 A261116

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 08 2015

Status

approved