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A298133 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 5, 4, 5, 0, 0, 10, 13, 13, 10, 0, 0, 25, 62, 15, 62, 25, 0, 0, 54, 223, 233, 233, 223, 54, 0, 0, 125, 826, 1055, 2621, 1055, 826, 125, 0, 0, 282, 3200, 5782, 21537, 21537, 5782, 3200, 282, 0, 0, 641, 12098, 36225, 175014, 285084, 175014 (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...1.....2......5.......10........25..........54...........125............282

.0...2.....4.....13.......62.......223.........826..........3200..........12098

.0...5....13.....15......233......1055........5782.........36225.........205348

.0..10....62....233.....2621.....21537......175014.......1557284.......13225388

.0..25...223...1055....21537....285084.....3752401......52922003......714854991

.0..54...826...5782...175014...3752401....76791444....1706951987....36185741209

.0.125..3200..36225..1557284..52922003..1706951987...58599163176..1933759163417

.0.282.12098.205348.13225388.714854991.36185741209.1933759163417.99650656591710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k:

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

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

k=3: [order 18]

k=4: [order 53] for n>56

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297860.

Sequence in context: A330619 A245693 A297866 * A298070 A298719 A296148

Adjacent sequences:  A298130 A298131 A298132 * A298134 A298135 A298136

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2018

STATUS

approved

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Last modified September 18 07:34 EDT 2021. Contains 347510 sequences. (Running on oeis4.)