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A298146 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 8, 2, 2, 8, 0, 0, 5, 1, 8, 1, 5, 0, 0, 22, 6, 13, 13, 6, 22, 0, 0, 29, 8, 27, 34, 27, 8, 29, 0, 0, 60, 15, 43, 57, 57, 43, 15, 60, 0, 0, 121, 22, 104, 73, 92, 73, 104, 22, 121, 0, 0, 194, 44, 220, 174, 161, 161, 174, 220, 44, 194, 0, 0, 425, 82 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0..0..0...0...0...0....0....0....0.....0.....0.....0......0......0......0

.0..1..2...1...8...5...22...29...60...121...194...425....704...1421...2574

.0..2..0...2...1...6....8...15...22....44....82...152....267....486....898

.0..1..2...8..13..27...43..104..220...478...988..2085...4451...9505..20311

.0..8..1..13..34..57...73..174..350...800..1605..3376...7079..15234..32785

.0..5..6..27..57..92..161..369..918..2023..4177..9191..20759..46792.104465

.0.22..8..43..73.161..180..544.1076..2574..5208.11862..27724..63854.146389

.0.29.15.104.174.369..544.1404.2748..6157.13104.29303..63856.141487.313354

.0.60.22.220.350.918.1076.2748.4288.11715.22361.54254.112257.265785.593737

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..480

FORMULA

Empirical for column k:

k=1: a(n) =

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

k=3: a(n) = a(n-1) +2*a(n-2) +2*a(n-5) -4*a(n-6) -8*a(n-7) -a(n-8) +a(n-9)

k=4: [order 21] for n>27

k=5: [order 34] for n>40

k=6: [order 99] for n>106

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A297809.

Sequence in context: A316342 A297814 A298177 * A295520 A295335 A227838

Adjacent sequences:  A298143 A298144 A298145 * A298147 A298148 A298149

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2018

STATUS

approved

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Last modified August 20 22:45 EDT 2019. Contains 326155 sequences. (Running on oeis4.)