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.

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

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 A351317 A094965

Adjacent sequences: A285027 A285028 A285029 * A285031 A285032 A285033

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 08 2017

Status

approved