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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

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Last modified January 25 02:32 EST 2021. Contains 340414 sequences. (Running on oeis4.)