login
The OEIS is supported by the many generous donors to the OEIS 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A204284 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order 9
108, 274, 274, 783, 622, 783, 1758, 865, 865, 1758, 5263, 193, 128, 193, 5263, 14141, 539, 256, 256, 539, 14141, 29731, 735, 334, 244, 334, 735, 29731, 93809, 1883, 778, 442, 442, 778, 1883, 93809, 248919, 5187, 1990, 982, 736, 982, 1990, 5187, 248919 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...108..274..783.1758.5263.14141.29731.93809.248919.573623.1749927.4584571

...274..622..865..193..539...735..1883..5187..12715..34507...94379..254955

...783..865..128..256..334...778..1990..4758..12782..34702...93502..255070

..1758..193..256..244..442...982..1914..4922..13138..34498...93778..255730

..5263..539..334..442..736...996..2168..5368..13024..34864...94528..255360

.14141..735..778..982..996..1496..2860..5500..13636..35860...94404..256196

.29731.1883.1990.1914.2168..2860..3664..6784..15304..36408...95912..258472

.93809.5187.4758.4922.5368..5500..6784.10288..17688..39752..100024..260344

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..337

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2) +10*a(n-3) -44*a(n-4) +60*a(n-5) -30*a(n-6) -172*a(n-7) -152*a(n-8) +1224*a(n-9) -448*a(n-10) -656*a(n-11) +880*a(n-12) -2592*a(n-13) +2688*a(n-14) -768*a(n-15) for n>16

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

k=3..7: a(n) = 3*a(n-1) -6*a(n-4) +4*a(n-6) for n>8

EXAMPLE

Some solutions for n=4 k=3

..0..0..0..0..0....0..0..0..0..0....0..0..0..1..2....0..0..0..0..0

..0..0..0..0..0....1..1..1..1..1....2..0..0..0..1....0..0..0..0..0

..1..1..1..1..1....0..0..0..0..0....2..2..0..0..0....1..1..1..1..1

..0..0..0..0..0....0..0..0..0..0....2..2..2..0..0....0..0..0..0..0

..2..2..2..2..2....1..1..1..1..1....0..2..2..2..0....1..1..1..1..1

..2..2..2..2..2....0..0..0..0..0....0..1..2..2..2....2..2..2..2..2

CROSSREFS

Sequence in context: A255091 A255084 A252337 * A204277 A138669 A304377

Adjacent sequences: A204281 A204282 A204283 * A204285 A204286 A204287

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 13 2012

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 November 30 08:36 EST 2022. Contains 358438 sequences. (Running on oeis4.)