OFFSET
1,5
COMMENTS
Table starts
.1..1....1....1.....1.......1........1.........1..........1...........1
.1..2....7...12....18......33.......73.......139........244.........449
.1..3...14...26....43.....109......301.......649.......1332........3124
.1..4...22...42...105.....349.....1057......2834.......8216.......24556
.1..6...68..183...535....2430....12005.....45977.....182298......793315
.1..9..163..513..1673...11345....76692....369339....1884628....11192445
.1.13..320.1085..5108...50127...431723...2741816...19713343...158831909
.1.19..782.3332.19690..267505..3338387..28588498..275287217..3091469216
.1.28.1889.9744.66529.1348969.23694911.264853947.3362921639.52055334454
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..337
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) +7*a(n-3) +a(n-5) -4*a(n-6)
k=4: a(n) = a(n-1) +12*a(n-3) +2*a(n-4) +2*a(n-5) -7*a(n-6) -a(n-7)
k=5: [order 20]
k=6: [order 37]
k=7: [order 81]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: a(n) = a(n-1) +a(n-3) +4*a(n-4)
n=3: a(n) = a(n-1) +3*a(n-3) +8*a(n-4) +a(n-5) -a(n-6)
n=4: [order 12]
n=5: [order 29]
n=6: [order 59]
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..1. .0..1..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0
..0..0..1..1. .0..0..1..0. .0..0..1..1. .0..0..0..0. .0..0..1..0
..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1. .0..1..0..1
..0..1..1..1. .0..1..1..0. .1..1..0..0. .0..1..1..0. .0..0..1..0
..0..0..1..0. .1..1..0..0. .1..1..0..0. .0..0..0..0. .0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 30 2017
STATUS
approved