A293087 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 23, 53, 10, 0, 1, 124, 486, 498, 60, 0, 3, 518, 4091, 8108, 4013, 304, 0, 10, 2103, 32070, 125848, 126903, 31689, 1420, 0, 24, 8304, 246852, 1900201, 3786544, 1955375, 246743, 6312, 0, 60, 32561, 1897509, 28709764

Offset

1,8

Comments

Table starts

.0.....0........0..........0.............0................1..................3

.0.....0........5.........23...........124..............518...............2103

.0.....1.......53........486..........4091............32070.............246852

.0....10......498.......8108........125848..........1900201...........28709764

.0....60.....4013.....126903.......3786544........112687158.........3370860734

.0...304....31689....1955375.....114271723.......6736259130.......400400301913

.0..1420...246743...30064393....3464680837.....405651046593.....48001754870966

.0..6312..1915490..462569756..105517939849...24578475941654...5797084510052322

.0.27167.14853287.7127871677.3226317873349.1496865603233666.704256987414278983

Links

R. H. Hardin, Table of n, a(n) for n = 1..198

Example

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

Crossrefs

Row 1 is A286209.

Sequence in context: A283784 A361353 A281563 * A209349 A242095 A336169

Adjacent sequences: A293084 A293085 A293086 * A293088 A293089 A293090

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 30 2017

Status

approved