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A299135 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 30, 42, 1, 1, 127, 149, 149, 127, 1, 1, 389, 576, 1261, 576, 389, 1, 1, 1192, 2621, 9316, 9316, 2621, 1192, 1, 1, 3645, 12495, 75592, 130924, 75592, 12495, 3645, 1, 1, 11161, 59426, 648807, 1969223, 1969223, 648807, 59426 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.....1......1........1..........1.............1...............1

.1.....5.....13.......42........127...........389............1192

.1....13.....30......149........576..........2621...........12495

.1....42....149.....1261.......9316.........75592..........648807

.1...127....576.....9316.....130924.......1969223........31421743

.1...389...2621....75592....1969223......54173918......1576974771

.1..1192..12495...648807...31421743....1576974771.....83518793627

.1..3645..59426..5568411..497341456...45531416012...4394242516518

.1.11161.291819.48528385.7976508449.1330533860979.233738399148294

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

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

k=3: [order 12] for n>14

k=4: [order 49] for n>51

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298234.

Sequence in context: A157177 A298240 A299366 * A299893 A299060 A299821

Adjacent sequences:  A299132 A299133 A299134 * A299136 A299137 A299138

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 03 2018

STATUS

approved

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Last modified June 2 08:23 EDT 2020. Contains 334767 sequences. (Running on oeis4.)