login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317036 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 4, 4, 8, 14, 14, 8, 16, 28, 30, 28, 16, 32, 94, 82, 82, 94, 32, 64, 284, 280, 354, 280, 284, 64, 128, 752, 842, 1718, 1718, 842, 752, 128, 256, 2244, 2591, 7523, 11368, 7523, 2591, 2244, 256, 512, 6532, 8141, 33798, 66728, 66728, 33798, 8141, 6532, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2.....4......8.......16........32..........64..........128

...2....4....14.....28.......94.......284.........752.........2244

...4...14....30.....82......280.......842........2591.........8141

...8...28....82....354.....1718......7523.......33798.......153703

..16...94...280...1718....11368.....66728......417156......2714271

..32..284...842...7523....66728....559097.....4939166.....46085330

..64..752..2591..33798...417156...4939166....64983838....900623946

.128.2244..8141.153703..2714271..46085330...900623946..19235095363

.256.6532.25387.700615.17610616.435634601.12923660734.426907974013

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +2*a(n-2) +6*a(n-3) -10*a(n-4) -8*a(n-5) for n>6

k=3: [order 15] for n>17

k=4: [order 65] for n>67

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A304341.

Sequence in context: A304347 A316218 A305642 * A305911 A317153 A316883

Adjacent sequences:  A317033 A317034 A317035 * A317037 A317038 A317039

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 19 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)