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A300175 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 9, 6, 0, 0, 17, 37, 37, 17, 0, 0, 41, 192, 268, 192, 41, 0, 0, 104, 932, 2620, 2620, 932, 104, 0, 0, 261, 4712, 23522, 50419, 23522, 4712, 261, 0, 0, 655, 23795, 223445, 886940, 886940, 223445, 23795, 655, 0, 0, 1646, 120610, 2117743 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

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

.0...1......3........6.........17............41.............104

.0...3......9.......37........192...........932............4712

.0...6.....37......268.......2620.........23522..........223445

.0..17....192.....2620......50419........886940........16262433

.0..41....932....23522.....886940......30129628......1068913988

.0.104...4712...223445...16262433....1068913988.....73267622156

.0.261..23795..2117743..297460457...37795185266...5003777484149

.0.655.120610.20154626.5454615441.1339340557254.342457741960757

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

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

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

k=3: [order 11] for n>13

k=4: [order 25] for n>26

k=5: [order 66] for n>69

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297972.

Sequence in context: A298841 A299602 A299554 * A129533 A155999 A338034

Adjacent sequences:  A300172 A300173 A300174 * A300176 A300177 A300178

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 27 2018

STATUS

approved

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Last modified August 19 03:31 EDT 2022. Contains 356216 sequences. (Running on oeis4.)