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A204316 Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..3 introduced in row major order 1
900, 15309, 296570, 3885869, 61395233, 998872022, 15147453273, 236632580900, 3720926905272, 57768732597137, 901307564666548, 14081696214168287, 219500595457550601, 3424308851127979049, 53436023878129018975 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204320

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 22*a(n-1) -119*a(n-2) +1148*a(n-3) -19142*a(n-4) +102346*a(n-5) -296822*a(n-6) +3139506*a(n-7) -17422094*a(n-8) +26324236*a(n-9) -128714479*a(n-10) +982639012*a(n-11) -881519791*a(n-12) -3835450308*a(n-13) -14164183760*a(n-14) +54843321982*a(n-15) +143773588667*a(n-16) -421147795822*a(n-17) -506301269317*a(n-18) +300563067312*a(n-19) +3197934667874*a(n-20) +3965911183994*a(n-21) -8966689060712*a(n-22) -14613863059144*a(n-23) -10342173673300*a(n-24) +29852979743336*a(n-25) +55550077164136*a(n-26) +927670269048*a(n-27) -34177938429792*a(n-28) -82246627809120*a(n-29) -15804172099872*a(n-30) +29229877967616*a(n-31) -13979244036096*a(n-32) +28593720906048*a(n-33) +24957241337088*a(n-34) +81534201661440*a(n-35) +25331504004864*a(n-36) -76108888037376*a(n-37) -43913943770112*a(n-38) -15206741121024*a(n-39) +22676452319232*a(n-40) +15618529714176*a(n-41) -4816869949440*a(n-42) -812665405440*a(n-43)

EXAMPLE

Some solutions for n=3

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

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

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

..1..1..1....0..0..0....0..1..0....0..0..0....0..0..0....1..0..3....1..0..1

..0..0..0....0..1..2....3..2..1....0..1..1....1..1..1....0..0..0....1..2..0

CROSSREFS

Sequence in context: A173486 A258155 A204320 * A283953 A262847 A093230

Adjacent sequences:  A204313 A204314 A204315 * A204317 A204318 A204319

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 14 2012

STATUS

approved

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Last modified May 26 02:45 EDT 2022. Contains 354074 sequences. (Running on oeis4.)