OFFSET
1,3
COMMENTS
Table starts
...1...1....2.....4......8......16.......32........64........128.........256
...2...4...12....36....108.....324......972......2916.......8748.......26244
...3...7...16....37.....86.....200......465......1081.......2513........5842
...6..14...38...104....290.....815.....2291......6434......18065.......50729
..12..26...84...275....913....3064....10337.....34921.....117975......398560
..24..50..192...753...3017...12217....49697....202749.....828828.....3391310
..48..95..436..2049...9863...48269...237807...1173787....5803040....28746995
..96.181..990..5602..32539..191974..1143185...6843349...41072451...246859250
.192.345.2253.15305.107369..767905..5539989..40156061..292253909..2133745005
.384.657.5121.41866.354366.3065418.26833885.236220817.2086382703.18485204565
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..420
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) for n>3
k=2: a(n) = a(n-1) +2*a(n-2) -a(n-4) for n>5
k=3: a(n) = a(n-1) +4*a(n-2) -6*a(n-4) -a(n-5) +4*a(n-6) -a(n-8) for n>10
k=4: [order 16] for n>18
k=5: [order 32] for n>34
k=6: [order 64] for n>66
Empirical for row n:
n=1: a(n) = 2*a(n-1) for n>2
n=2: a(n) = 3*a(n-1) for n>2
n=3: a(n) = 3*a(n-1) -2*a(n-2) +a(n-3)
n=4: a(n) = 5*a(n-1) -9*a(n-2) +10*a(n-3) -6*a(n-4) +a(n-5) for n>6
n=5: [order 8] for n>9
n=6: [order 13] for n>14
n=7: [order 21] for n>22
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..2. .0..1..2..0. .0..1..0..2. .0..1..2..0. .0..1..2..1
..2..1..2..1. .1..2..0..1. .2..1..0..2. .1..2..0..1. .1..2..0..1
..1..0..2..1. .2..0..1..2. .1..0..2..1. .1..2..1..2. .1..0..1..2
..1..0..1..0. .2..0..1..0. .1..0..2..0. .2..0..1..2. .2..0..1..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 10 2016
STATUS
approved