OFFSET
1,5
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..198
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 9*a(n-1) -30*a(n-2) +45*a(n-3) -30*a(n-4) +9*a(n-5) -a(n-6)
k=3: [order 9] for n>10
k=4: [order 24]
k=5: [order 38] for n>39
k=6: [order 96] for n>97
Empirical for row n:
n=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)
n=2: [order 8] for n>10
n=3: [order 24] for n>30
n=4: [order 68] for n>78
EXAMPLE
Table starts:
.0.....1.......0.........3...........3............9.............15
.0.....3.......9........24..........62..........134............277
.0.....9......50.......221.........822.........2669...........8068
.0....31.....296......1922.......10491........50690.........226771
.0...108....1650.....15511......124030.......887491........5870751
.0...366....8666....118857.....1393359.....14787217......144819856
.0..1205...43543....876704....15071233....237386464.....3444870482
.0..3873..211650...6281773...158391708...3703836674....79672440007
.0.12207.1002602..43997218..1627160233..56499013470..1801951754910
.0.37859.4652327.302544617.16409869901.846166990079.40020022178950
...
Some solutions for n=4 and k=4:
..0..1..0..0. .0..1..0..0. .0..1..0..1. .0..0..1..0. .0..1..0..1
..0..0..1..0. .0..1..1..0. .0..1..0..0. .1..0..1..0. .1..0..1..1
..1..1..1..1. .0..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..1..1
..1..0..0..1. .0..0..1..0. .0..0..0..1. .1..0..0..1. .0..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 24 2016
STATUS
approved