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A285030 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1. 8
0, 0, 0, 1, 2, 1, 2, 6, 6, 2, 6, 26, 97, 26, 6, 12, 104, 442, 442, 104, 12, 28, 402, 4892, 6460, 4892, 402, 28, 56, 1578, 26226, 96458, 96458, 26226, 1578, 56, 119, 6196, 256732, 1449814, 3708321, 1449814, 256732, 6196, 119, 236, 24310, 1544872, 22043878 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0....0.......1.........2...........6.............12...............28

..0....2.......6........26.........104............402.............1578

..1....6......97.......442........4892..........26226...........256732

..2...26.....442......6460.......96458........1449814.........22043878

..6..104....4892.....96458.....3708321.......85715676.......3064900470

.12..402...26226...1449814....85715676.....5075612300.....305391845288

.28.1578..256732..22043878..3064900470...305391845288...40651048407879

.56.6196.1544872.336883696.78636441270.18488589657334.4417815478017558

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions for n=4, k=4

..1..0..0..1. .0..1..0..0. .1..0..1..0. .0..0..0..0. .1..1..1..1

..1..0..0..0. .0..1..1..1. .0..1..0..0. .1..1..1..0. .0..1..0..1

..0..1..1..0. .0..0..1..0. .1..0..0..0. .0..1..0..1. .0..0..0..0

..1..1..0..0. .1..1..0..0. .1..1..1..0. .1..0..1..1. .0..0..1..0

CROSSREFS

Column 1 is A284449.

Sequence in context: A267864 A336524 A219570 * A281781 A094965 A025277

Adjacent sequences:  A285027 A285028 A285029 * A285031 A285032 A285033

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 08 2017

STATUS

approved

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Last modified May 11 18:21 EDT 2021. Contains 343808 sequences. (Running on oeis4.)