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A272965 T(n,k)=Number of nXk 0..1 arrays with exactly n+k-1 having value 1 and no three 1s forming an isosceles right triangle. 7
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 0, 9, 0, 1, 1, 1, 6, 8, 8, 6, 1, 1, 1, 0, 16, 8, 12, 8, 16, 0, 1, 1, 1, 66, 71, 58, 58, 71, 66, 1, 1, 1, 0, 95, 212, 367, 192, 367, 212, 95, 0, 1, 1, 1, 177, 731, 1952, 838, 838, 1952, 731, 177, 1, 1, 1, 0, 493, 1840, 10854 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,24

COMMENTS

Table starts

.1.1..1...1.....1.....1......1......1......1......1.......1......1.....1....1.1

.1.0..1...0.....1.....0......1......0......1......0.......1......0.....1....0.1

.1.1..0...1.....9.....6.....16.....66.....95....177.....493...1153..2238.5011

.1.0..1...0.....8.....8.....71....212....731...1840....5953..18632.54705

.1.1..9...8....12....58....367...1952..10854..28952..111036.509073

.1.0..6...8....58...192....838...4968..37436.250516.1268025

.1.1.16..71...367...838...4892..26051.198970

.1.0.66.212..1952..4968..26051.230268

.1.1.95.731.10854.37436.198970

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..126

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = a(n-2)

k=3: a(n) = [linear recurrence of order 32]

EXAMPLE

Some solutions for n=6 k=4

..1..1..1..1. .1..1..0..1. .0..1..1..1. .1..1..1..1. .1..0..1..1

..0..0..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..0. .1..0..0..0

..0..0..0..0. .0..0..1..0. .0..0..1..0. .0..0..0..0. .0..1..0..0

..0..0..1..0. .0..1..0..0. .0..1..0..0. .0..1..0..0. .0..0..1..0

..0..0..0..1. .0..0..0..0. .1..0..0..0. .1..0..0..0. .0..0..0..0

..1..1..0..1. .1..1..1..0. .1..0..1..1. .1..0..1..1. .0..1..1..1

CROSSREFS

Sequence in context: A340879 A086199 A167545 * A059058 A343587 A021015

Adjacent sequences:  A272962 A272963 A272964 * A272966 A272967 A272968

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 11 2016

STATUS

approved

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Last modified September 23 02:41 EDT 2021. Contains 347609 sequences. (Running on oeis4.)