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A274068 T(n,k)=Number of nXk 0..2 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..2 order. 3
1, 2, 2, 5, 9, 5, 14, 50, 50, 14, 41, 285, 136, 285, 41, 122, 1129, 111, 111, 1129, 122, 365, 4791, 97, 0, 97, 4791, 365, 1094, 17219, 235, 0, 0, 235, 17219, 1094, 3281, 63640, 197, 0, 0, 0, 197, 63640, 3281, 9842, 182143, 389, 0, 0, 0, 0, 389, 182143, 9842, 29525 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

......1........2...5..14...41..122...365..1094...3281...9842...29525...88574

......2........9..50.285.1129.4791.17219.63640.182143.598332.1622713.4807733

......5.......50.136.111...97..235...197...389....305....589.....447.....823

.....14......285.111...0....0....0.....0.....0......0......0.......0

.....41.....1129..97...0....0....0.....0.....0......0......0

....122.....4791.235...0....0....0.....0.....0......0

....365....17219.197...0....0....0.....0.....0

...1094....63640.389...0....0....0.....0

...3281...182143.305...0....0....0

...9842...598332.589...0....0

..29525..1622713.447...0

..88574..4807733.823

.265721.12097755

.797162

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..108

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2)

k=3: a(n) = a(n-1) +2*a(n-2) -2*a(n-3) -a(n-4) +a(n-5) for n>13

EXAMPLE

Some solutions for n=3 k=4

..0..1..1..0. .0..0..1..1. .0..1..2..1. .0..1..1..0. .0..0..0..1

..2..2..2..0. .2..1..2..0. .0..1..2..1. .2..2..2..2. .2..2..1..0

..1..1..0..2. .2..1..2..0. .2..0..0..2. .1..1..0..0. .1..1..2..0

CROSSREFS

Column 1 is A007051(n-1).

Sequence in context: A275504 A275401 A011273 * A274065 A233073 A275266

Adjacent sequences:  A274065 A274066 A274067 * A274069 A274070 A274071

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 09 2016

STATUS

approved

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Last modified May 20 21:39 EDT 2022. Contains 353876 sequences. (Running on oeis4.)