

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


9



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
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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: A333814 A062902 A058229 * A260099 A224546 A247720
Adjacent sequences: A260103 A260104 A260105 * A260107 A260108 A260109


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin, Jul 16 2015


STATUS

approved



