A260106 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101

48, 85, 85, 206, 201, 206, 472, 477, 477, 472, 1116, 1151, 1136, 1151, 1116, 2575, 2794, 2768, 2768, 2794, 2575, 6068, 6804, 6878, 7119, 6878, 6804, 6068, 14096, 16453, 17125, 18209, 18209, 17125, 16453, 14096, 33044, 39854, 42372, 47498, 47576, 47498

Offset

1,1

Comments

Table starts

....48.....85....206.....472....1116.....2575.....6068.....14096.....33044

....85....201....477....1151....2794.....6804....16453.....39854.....96501

...206....477...1136....2768....6878....17125....42372....104772....258690

...472...1151...2768....7119...18209....47498...121800....316688....816233

..1116...2794...6878...18209...47576...127549...336302....903901...2402228

..2575...6804..17125...47498..127549...355098...965197...2690519...7384493

..6068..16453..42372..121800..336302...965197..2703084...7792018..22113228

.14096..39854.104772..316688..903901..2690519..7792018..23254546..68275847

.33044..96501.258690..816233.2402228..7384493.22113228..68275847.207675396

.76925.233975.639184.2113881.6409084.20405960.63167136.201959304.635878858

Links

R. H. Hardin, Table of n, a(n) for n = 1..419

Formula

Empirical for column k:

k=1: [linear recurrence of order 9] for n>10

k=2: [order 17] for n>18

k=3: [order 34] for n>35

k=4: [order 57] for n>59

Example

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

Crossrefs

Sequence in context: A044029 A333814 A062902 * A260099 A224546 A247720

Adjacent sequences: A260103 A260104 A260105 * A260107 A260108 A260109

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 16 2015

Status

approved