login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A306143 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 7, 1, 2, 23, 23, 2, 3, 86, 90, 86, 3, 5, 313, 521, 521, 313, 5, 8, 1145, 2787, 4691, 2787, 1145, 8, 13, 4184, 14804, 40610, 40610, 14804, 4184, 13, 21, 15293, 79839, 339596, 601535, 339596, 79839, 15293, 21, 34, 55895, 428041, 2880944, 8151029 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1.......1.........2...........3.............5...............8

..1.....7......23........86.........313..........1145............4184

..1....23......90.......521........2787.........14804...........79839

..2....86.....521......4691.......40610........339596.........2880944

..3...313....2787.....40610......601535.......8151029.......114440831

..5..1145...14804....339596.....8151029.....173607551......3871080422

..8..4184...79839...2880944...114440831....3871080422....138192505287

.13.15293..428041..24495738..1609075139...86575577937...4979043059695

.21.55895.2296512.207439044.22447164273.1913874691873.176429151145679

LINKS

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

FORMULA

Empirical for column k:

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

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

k=3: [order 15] for n>16

k=4: [order 50] for n>51

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A303890.

Sequence in context: A316583 A304597 A316383 * A317376 A304427 A316282

Adjacent sequences:  A306140 A306141 A306142 * A306144 A306145 A306146

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 22 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 August 24 14:36 EDT 2019. Contains 326285 sequences. (Running on oeis4.)