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A272974
T(n,k)=Number of nXk 0..1 arrays with exactly n+k-1 having value 1 and no three 1s forming an isosceles triangle.
1
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 3, 0, 0, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 4, 0, 0, 4, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0
OFFSET
1,31
COMMENTS
Table starts
.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1
.1.0.1.0.0.0.0.0.0.0.0.0.0.0.0.0
.1.1.0.0.0.3.0.2.0.2.0.2.0.2.0
.1.0.0.0.0.0.0.0.0.0.0.0.0.0
.1.0.0.0.0.0.0.4.0.2.0.0.0
.1.0.3.0.0.0.0.0.0.0.1.8
.1.0.0.0.0.0.0.0.0.3.0
.1.0.2.0.4.0.0.0.1
.1.0.0.0.0.0.0.1
.1.0.2.0.2.0.3
.1.0.0.0.0.1
.1.0.2.0.0
.1.0.0.0
.1.0.2
.1.0
.1
LINKS
FORMULA
Row n extended:
n=2: 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
n=3: 1 1 0 0 0 3 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2
n=4: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
n=5: 1 0 0 0 0 0 0 4 0 2 0 0 0 0 0
n=6: 1 0 3 0 0 0 0 0 0 0 1 8 0
EXAMPLE
All solutions for n=3 k=6
..0..1..1..1..1..0. .1..0..0..0..0..1. .1..1..0..0..1..1
..1..0..0..0..0..1. .1..0..0..0..0..1. .0..0..0..0..0..0
..1..0..0..0..0..1. .0..1..1..1..1..0. .1..1..0..0..1..1
CROSSREFS
Sequence in context: A284444 A341794 A033685 * A063691 A359967 A284281
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, May 11 2016
STATUS
approved