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A305457 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 5
0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 14, 18, 0, 0, 61, 69, 69, 61, 0, 0, 209, 376, 661, 376, 209, 0, 0, 702, 1891, 5580, 5580, 1891, 702, 0, 0, 2381, 9889, 48148, 79810, 48148, 9889, 2381, 0, 0, 8069, 51283, 418382, 1117343, 1117343, 418382, 51283, 8069, 0, 0, 27330 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.0....3......5.......18.........61..........209............702.............2381

.0....5.....14.......69........376.........1891...........9889............51283

.0...18.....69......661.......5580........48148.........418382..........3621421

.0...61....376.....5580......79810......1117343.......16062787........228184784

.0..209...1891....48148....1117343.....25891309......612656116......14339915102

.0..702...9889...418382...16062787....612656116....23996865179.....926180069711

.0.2381..51283..3621421..228184784..14339915102...926180069711...58862515324951

.0.8069.265582.31403562.3255027240.337239061289.35989846262523.3770741435617783

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) = 3*a(n-1) +a(n-2) +2*a(n-3) -2*a(n-4) -4*a(n-5) for n>6

k=3: [order 14] for n>16

k=4: [order 42] for n>43

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303684.

Column 3 is A304060.

Column 4 is A304061.

Sequence in context: A305175 A316763 A304065 * A305022 A316686 A304767

Adjacent sequences:  A305454 A305455 A305456 * A305458 A305459 A305460

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 01 2018

STATUS

approved

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Last modified October 3 04:16 EDT 2022. Contains 357230 sequences. (Running on oeis4.)