OFFSET
1,1
COMMENTS
Table starts
..2...4....6....9....14.....21.....31......46.......68......100.......147
..4..16...36...81...196....441....961....2116.....4624....10000.....21609
..6..36..102..288...896...2499...6634...17848....47192...122200....315315
..8..64..216..720..2688...8799..27063...84502...257584...762900...2246895
.10.100..390.1485..6398..23856..82739..291364...997288..3297100..10818024
.12.144..636.2709.13132..54684.210118..818892..3093184.11234900..40417797
.14.196..966.4536.24304.111426.468348.1992996..8204200.32364700.126207438
.16.256.1392.7128.41664.208026.947298.4356936.19360144.82226100.344542569
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..1404
FORMULA
Empirical for column k:
k=1: a(n) = 2*n
k=2: a(n) = 4*n^2
k=3: a(n) = 2*n^3 + 6*n^2 - 2*n
k=4: a(n) = (3/4)*n^4 + (15/2)*n^3 + (15/4)*n^2 - 3*n
k=5: a(n) = (7/30)*n^5 + 7*n^4 + (21/2)*n^3 - (56/15)*n
k=6: a(n) = (7/120)*n^6 + (147/40)*n^5 + (49/3)*n^4 + (91/8)*n^3 - (707/120)*n^2 - (91/20)*n
k=7: a(n) = (31/2520)*n^7 + (62/45)*n^6 + (4867/360)*n^5 + (2015/72)*n^4 + (1271/180)*n^3 - (4991/360)*n^2 - (713/140)*n
EXAMPLE
Some solutions for n=4 k=3
..0..1..1....1..1..1....0..1..1....0..0..0....0..1..1....0..0..0....1..0..0
..1..1..0....1..1..0....1..0..0....1..0..0....0..1..1....0..1..1....0..0..0
..1..1..0....1..0..0....1..0..0....0..0..0....0..1..1....0..0..0....0..0..0
..1..0..0....1..0..0....1..0..0....0..0..0....0..1..1....0..0..0....0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 14 2012
STATUS
approved