login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303727 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero. 8
1, 2, 2, 4, 8, 4, 8, 21, 21, 8, 16, 49, 23, 49, 16, 32, 120, 46, 46, 120, 32, 64, 293, 77, 84, 77, 293, 64, 128, 719, 151, 133, 133, 151, 719, 128, 256, 1774, 294, 221, 219, 221, 294, 1774, 256, 512, 4389, 549, 406, 345, 345, 406, 549, 4389, 512, 1024, 10893, 1051, 743 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2....4....8...16...32...64..128..256...512..1024..2048...4096...8192

...2....8...21...49..120..293..719.1774.4389.10893.27096.67529.168555.421238

...4...21...23...46...77..151..294..549.1051..2032..3877..7421..14262..27333

...8...49...46...84..133..221..406..743.1327..2396..4385..8003..14556..26527

..16..120...77..133..219..345..564..974.1715..2992..5222..9175..16164..28488

..32..293..151..221..345..569..894.1402.2341..3998..6796.11609..19890..34076

..64..719..294..406..564..894.1476.2252.3461..5631..9362.15569..26111..43960

.128.1774..549..743..974.1402.2252.3614.5457..8261.13120.21359..34963..57728

.256.4389.1051.1327.1715.2341.3461.5457.8730.13090.19529.30490..48864..78903

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..967

FORMULA

Empirical for column k:

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

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

k=3: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) -2*a(n-5) +2*a(n-6) for n>9

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

k=5: a(n) = 2*a(n-1) -a(n-4) -a(n-6) -a(n-7) +2*a(n-8) for n>12

k=6: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-6) -a(n-7) -a(n-8) +2*a(n-9) for n>15

k=7: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-7) -a(n-8) -a(n-9) +2*a(n-10) for n>18

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Sequence in context: A303016 A302820 A303513 * A305230 A304775 A316518

Adjacent sequences:  A303724 A303725 A303726 * A303728 A303729 A303730

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 29 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 4 08:39 EDT 2022. Contains 357238 sequences. (Running on oeis4.)