OFFSET
1,4
COMMENTS
Table starts
.0.....1......2........6........16.........40...........96...........224
.0.....4......8.......36.......112........368.........1152..........3568
.0....20.....58......361......1588.......7460........33136........146300
.0....84....356.....3064.....19276.....130854.......833108.......5305746
.0...324...2038....24344....221096....2171944.....19965136.....184319130
.0..1188..11184...185808...2451728...34811238....463976296....6218438820
.0..4212..59626..1379512..26566266..544403948..10551803060..205336122417
.0.14580.311260.10036352.283010776.8359264560.236116939092.6668992563052
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) = 6*a(n-1) - 9*a(n-2) for n > 3.
k=3: a(n) = 10*a(n-1) - 29*a(n-2) + 20*a(n-3) - 4*a(n-4) for n > 5.
k=4: a(n) = 14*a(n-1) - 57*a(n-2) + 56*a(n-3) - 16*a(n-4) for n > 5.
k=5: [order 12] for n > 13.
k=6: [order 18] for n > 19.
k=7: [order 38] for n > 39.
Empirical for row n:
n=1: a(n) = 4*a(n-1) - 4*a(n-2) for n > 4.
n=2: a(n) = 4*a(n-1) - 8*a(n-3) - 4*a(n-4).
n=3: a(n) = 6*a(n-1) - a(n-2) - 28*a(n-3) - 4*a(n-4) + 16*a(n-5) - 4*a(n-6) for n > 8.
n=4: [order 12] for n > 14.
n=5: [order 20] for n > 22.
n=6: [order 46] for n > 48.
n=7: [order 92] for n > 94.
EXAMPLE
Some solutions for n=3, k=4:
0 1 0 1 0 1 0 2 0 1 0 0 0 1 0 0 0 1 2 0
0 2 0 2 1 2 0 2 0 1 2 1 2 1 2 1 0 1 2 0
2 1 0 1 1 2 0 2 2 1 2 1 0 1 2 1 2 1 0 1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 25 2013
STATUS
approved