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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A302150 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 11
1, 1, 2, 1, 1, 4, 1, 2, 1, 8, 1, 2, 4, 1, 16, 1, 3, 5, 10, 1, 32, 1, 6, 11, 17, 28, 1, 64, 1, 10, 34, 56, 65, 84, 1, 128, 1, 21, 88, 255, 289, 257, 260, 1, 256, 1, 42, 271, 1038, 2005, 1529, 1025, 816, 1, 512, 1, 86, 798, 4771, 12212, 15999, 8152, 4097, 2576, 1, 1024, 1, 179 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

...1.1....1.....1......1.......1.........1..........1............1

...2.1....2.....2......3.......6........10.........21...........42

...4.1....4.....5.....11......34........88........271..........798

...8.1...10....17.....56.....255......1038.......4771........21866

..16.1...28....65....289....2005.....12212......83092.......578398

..32.1...84...257...1529...15999....145150....1482725.....15902462

..64.1..260..1025...8152..128319...1728734...26544210....439103633

.128.1..816..4097..43676.1030709..20614702..476725579..12181287002

.256.1.2576.16385.234707.8283143.245896061.8575073202.338788296901

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..363

FORMULA

Empirical for column k:

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

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

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

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

k=5: [order 12]

k=6: [order 7] for n>9

k=7: [order 51] for n>54

Empirical for row n:

n=1: a(n) = a(n-1)

n=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5)

n=3: [order 25] for n>27

n=4: [order 85] for n>89

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 4 is A052539(n-2).

Row 2 is A240513(n-3).

Sequence in context: A208482 A199856 A301906 * A193554 A131350 A131087

Adjacent sequences:  A302147 A302148 A302149 * A302151 A302152 A302153

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 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 November 29 11:56 EST 2020. Contains 338766 sequences. (Running on oeis4.)