OFFSET
1,1
COMMENTS
Table starts
..2....4.......8........16..........32...........64...........128...........256
..4...15......51.......188.........672.........2452..........8822.........32077
..7...43.....257......1693.......10997........74255........492758.......3349106
.11..111....1181.....13846......165110......2057843......25667276.....329976721
.16..261....4825.....99412.....2150725.....49010279....1144026966...27661711340
.22..571...18307....663122....25831820...1069763402...46251359120.2092454198295
.29.1171...64013...4069449...285724643..21520521111.1718692144996
.37.2278..209366..23273667..2936736845.402124337377
.46.4235..645067.125118158.28324834725
.56.7570.1889163.638885869
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..97
FORMULA
Empirical for column k:
k=1: a(n) = (1/2)*n^2 + (1/2)*n + 1
k=2: [polynomial of degree 8] for n>4
k=3: [polynomial of degree 26] for n>18
k=4: [polynomial of degree 80] for n>61
Empirical for row n:
n=1: a(n) = 2*a(n-1)
n=2: [linear recurrence of order 12]
n=3: [order 80]
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..3....3..3..0..0....0..3..3..0....0..0..0..0....0..0..0..0
..3..3..0..0....3..3..0..0....0..0..0..3....0..3..1..3....0..3..1..0
..3..2..0..3....3..2..3..3....0..0..0..2....3..3..2..0....3..3..0..1
..3..2..0..3....0..3..2..0....3..3..0..0....0..3..3..2....3..3..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 04 2014
STATUS
approved