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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 09 2016
STATUS
approved

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Last modified July 16 05:19 EDT 2024. Contains 374343 sequences. (Running on oeis4.)