OFFSET
1,5
COMMENTS
Table starts
.1..1....1.....1.......1........1.........1...........1............1
.1..2....8....15......32.......61.......145.........297..........658
.1..3...17....34......92......223.......700........1747.........4931
.1..4...39....93.....362.....1103......4795.......15646........61063
.1..6..151...502....2719....11341.....82549......396787......2346541
.1..9..385..1443...11171....65215....673171.....4414693.....36515720
.1.13.1026..4676...53173...414651...6241242....56834907....675663465
.1.19.3272.19601..304157..3199929..74469526...959915987..16537401517
.1.28.8945.62749.1417699.21221319.718454750.13045679082.322119198752
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..220
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +a(n-3)
k=3: a(n) = a(n-1) +a(n-2) +13*a(n-3) -2*a(n-4) +4*a(n-5) -11*a(n-6) -3*a(n-7) -a(n-8)
k=4: [order 19]
k=5: [order 35]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: a(n) = 2*a(n-1) +a(n-2) -3*a(n-3) +6*a(n-4) -6*a(n-5)
n=3: [order 9]
n=4: [order 27]
n=5: [order 80]
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..0. .0..1..1..1. .0..0..0..0. .0..0..1..0. .0..0..1..1
..0..0..0..0. .0..0..1..0. .0..0..1..1. .0..1..0..1. .0..0..1..1
..0..0..1..1. .0..1..1..1. .0..1..1..0. .0..0..1..1. .0..0..0..0
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..1..0. .0..0..0..0
..0..1..0..1. .0..0..1..1. .0..1..1..0. .0..0..0..0. .0..0..1..1
..0..0..1..0. .0..0..1..1. .1..1..0..0. .0..0..0..0. .0..1..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 04 2018
STATUS
approved