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A326105 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 29, 29, 8, 16, 108, 161, 108, 16, 32, 401, 929, 929, 401, 32, 64, 1490, 5383, 8628, 5383, 1490, 64, 128, 5536, 31236, 81088, 81088, 31236, 5536, 128, 256, 20569, 181227, 760989, 1233763, 760989, 181227, 20569, 256, 512, 76424, 1051456 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.....2.......4.........8..........16............32..............64

...2.....8......29.......108.........401..........1490............5536

...4....29.....161.......929........5383.........31236..........181227

...8...108.....929......8628.......81088........760989.........7140349

..16...401....5383.....81088.....1233763......18773244.......285501774

..32..1490...31236....760989....18773244.....463572941.....11436374461

..64..5536..181227...7140349...285501774...11436374461....457515856087

.128.20569.1051456..67004116..4342306378..282167817331..18304957522469

.256.76424.6100399.628759699.66044562508.6962226034753.732434052866467

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

FORMULA

Empirical for column k:

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

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

k=3: a(n) = 5*a(n-1) +5*a(n-2) -2*a(n-3) -3*a(n-6) -2*a(n-7) -a(n-8) -a(n-9)

k=4: [order 22]

k=5: [order 59] for n>60

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A220547.

Sequence in context: A320402 A208709 A300472 * A300811 A301450 A302265

Adjacent sequences:  A326102 A326103 A326104 * A326106 A326107 A326108

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 06 2019

STATUS

approved

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Last modified June 25 15:41 EDT 2022. Contains 354851 sequences. (Running on oeis4.)