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!)
A316176 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 11, 11, 2, 3, 10, 16, 10, 3, 5, 51, 34, 34, 51, 5, 8, 165, 113, 72, 113, 165, 8, 13, 306, 275, 331, 331, 275, 306, 13, 21, 993, 604, 1425, 3087, 1425, 604, 993, 21, 34, 2867, 1804, 5297, 16382, 16382, 5297, 1804, 2867, 34, 55, 6818, 4683, 18573, 66575 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0....1....1.....2.......3.........5..........8...........13............21

..1....3...11....10......51.......165........306..........993..........2867

..1...11...16....34.....113.......275........604.........1804..........4683

..2...10...34....72.....331......1425.......5297........18573.........84658

..3...51..113...331....3087.....16382......66575.......500251.......3416740

..5..165..275..1425...16382....139293.....976178.....10070845.....106916450

..8..306..604..5297...66575....976178...12236682....164577403....2930093529

.13..993.1804.18573..500251..10070845..164577403...4139589568..113829450853

.21.2867.4683.84658.3416740.106916450.2930093529.113829450853.4957413596069

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) = a(n-1) +3*a(n-2) +8*a(n-3) -4*a(n-4) -16*a(n-5) for n>6

k=3: [order 18] for n>20

k=4: [order 64] for n>66

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A304052.

Sequence in context: A316455 A305015 A316648 * A317458 A301615 A180771

Adjacent sequences:  A316173 A316174 A316175 * A316177 A316178 A316179

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 25 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 October 18 13:21 EDT 2021. Contains 348067 sequences. (Running on oeis4.)