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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316427 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 3, 5, 3, 5, 9, 9, 5, 8, 21, 14, 21, 8, 13, 53, 32, 32, 53, 13, 21, 105, 75, 97, 75, 105, 21, 34, 237, 148, 279, 279, 148, 237, 34, 55, 577, 311, 640, 1097, 640, 311, 577, 55, 89, 1205, 687, 1660, 2861, 2861, 1660, 687, 1205, 89, 144, 2681, 1443, 4353, 8761, 8916 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1....2....3.....5.....8.....13......21.......34.......55........89........144

..2....5....9....21....53....105.....237......577.....1205......2681.......6349

..3....9...14....32....75....148.....311......687.....1443......3042.......6534

..5...21...32....97...279....640....1660.....4353....10975.....28038......72143

..8...53...75...279..1097...2861....8761....29548....87743....267014.....852011

.13..105..148...640..2861...8916...31433...121028...417457...1475614....5432803

.21..237..311..1660..8761..31433..130402...585212..2366785...9815061...42205654

.34..577..687..4353.29548.121028..585212..3242010.15459503..75494391..392102065

.55.1205.1443.10975.87743.417457.2366785.15459503.86620644.498441146.3054494072

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

FORMULA

Empirical for column k:

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

k=2: a(n) = a(n-1) +8*a(n-3) -4*a(n-4)

k=3: [order 12]

k=4: [order 42] for n>43

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+1).

Column 2 is A303963.

Sequence in context: A316925 A305347 A316615 * A317429 A316239 A317160

Adjacent sequences:  A316424 A316425 A316426 * A316428 A316429 A316430

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 02 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 December 7 07:01 EST 2021. Contains 349567 sequences. (Running on oeis4.)