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A298957 T(n,k)=Number of nXk 0..1 arrays with every element equal to 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 5
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 3, 2, 2, 3, 0, 0, 5, 3, 4, 3, 5, 0, 0, 8, 5, 6, 6, 5, 8, 0, 0, 13, 8, 11, 10, 11, 8, 13, 0, 0, 21, 13, 18, 22, 22, 18, 13, 21, 0, 0, 34, 21, 31, 47, 102, 47, 31, 21, 34, 0, 0, 55, 34, 53, 143, 390, 390, 143, 53, 34, 55, 0, 0, 89, 55, 91, 418, 1990 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

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

.0..1..1..2...3....5......8......13.......21.........34..........55

.0..1..1..2...3....5......8......13.......21.........34..........55

.0..2..2..4...6...11.....18......31.......53.........91.........156

.0..3..3..6..10...22.....47.....143......418.......1449........4821

.0..5..5.11..22..102....390....1990.....8875......42338......200422

.0..8..8.18..47..390...3101...21928...156972....1153968.....8497555

.0.13.13.31.143.1990..21928..300849..3354122...43052414...516822488

.0.21.21.53.418.8875.156972.3354122.54865647.1090267927.19403449274

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

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

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

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

k=5: [order 69]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Columns 2 and 3 are A000045(n-1).

Column 4 is A298163.

Sequence in context: A298183 A098356 A298167 * A298902 A298963 A180760

Adjacent sequences:  A298954 A298955 A298956 * A298958 A298959 A298960

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 30 2018

STATUS

approved

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Last modified August 13 14:01 EDT 2022. Contains 356091 sequences. (Running on oeis4.)