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A299187 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 7, 4, 8, 13, 13, 8, 16, 29, 20, 29, 16, 32, 69, 27, 27, 69, 32, 64, 137, 47, 75, 47, 137, 64, 128, 301, 83, 191, 191, 83, 301, 128, 256, 705, 137, 401, 626, 401, 137, 705, 256, 512, 1461, 235, 952, 1442, 1442, 952, 235, 1461, 512, 1024, 3193, 412, 2258, 4115 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2...4....8....16.....32......64.....128......256.......512.......1024

...2....7..13...29....69....137.....301.....705.....1461......3193.......7373

...4...13..20...27....47.....83.....137.....235......412.......709.......1228

...8...29..27...75...191....401.....952....2258.....5275.....13250......32268

..16...69..47..191...626...1442....4115...12839....34387....101533.....306593

..32..137..83..401..1442...3773...12847...48408...157805....562522....2057541

..64..301.137..952..4115..12847...59287..270914..1088697...5017429...22861814

.128..705.235.2258.12839..48408..270914.1666826..8168186..46505377..277299195

.256.1461.412.5275.34387.157805.1088697.8168186.51863841.370258161.2763281188

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) -2*a(n-2) +8*a(n-3) -20*a(n-4) +8*a(n-5) for n>6

k=3: [order 17] for n>19

k=4: [order 67] for n>70

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A297883.

Sequence in context: A298294 A299388 A298494 * A299948 A298221 A299350

Adjacent sequences:  A299184 A299185 A299186 * A299188 A299189 A299190

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 04 2018

STATUS

approved

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Last modified August 10 03:47 EDT 2020. Contains 336368 sequences. (Running on oeis4.)