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A298622 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 0, 4, 0, 1, 4, 4, 1, 0, 16, 0, 16, 0, 1, 48, 7, 7, 48, 1, 0, 88, 7, 83, 7, 88, 0, 1, 240, 25, 218, 218, 25, 240, 1, 0, 704, 88, 682, 1893, 682, 88, 704, 0, 1, 1600, 187, 4068, 5749, 5749, 4068, 187, 1600, 1, 0, 4032, 491, 14719, 51213, 32834, 51213, 14719, 491, 4032 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....4...4....16......48.......88........240.........704..........1600

.0....4...0.....7.......7.......25.........88.........187...........491

.1...16...7....83.....218......682.......4068.......14719.........58834

.0...48...7...218....1893.....5749......51213......407430.......2021867

.1...88..25...682....5749....32834.....480343.....4361690......38698593

.0..240..88..4068...51213...480343...10823065...161922923....2400592063

.1..704.187.14719..407430..4361690..161922923..4673855921...92707820639

.0.1600.491.58834.2021867.38698593.2400592063.92707820639.3376311711594

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +8*a(n-3) -8*a(n-4) -8*a(n-5)

k=3: [order 19] for n>20

k=4: [order 64] for n>65

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298448.

Sequence in context: A309333 A298924 A217476 * A298454 A298834 A299588

Adjacent sequences:  A298619 A298620 A298621 * A298623 A298624 A298625

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 23 2018

STATUS

approved

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Last modified May 25 09:26 EDT 2022. Contains 354066 sequences. (Running on oeis4.)