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A204973 Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order 1
4, 96, 1217, 16813, 226908, 3074889, 41618941, 563504926, 7628868673, 103284942785, 1398329242622, 18931424557397, 256304779809413, 3470006246394670, 46978999502038957, 636029536681800861 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A204978

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +79*a(n-2) -165*a(n-3) -1117*a(n-4) +1506*a(n-5) +4665*a(n-6) -8530*a(n-7) +2842*a(n-8) +16415*a(n-9) -52874*a(n-10) -90975*a(n-11) +139014*a(n-12) -2762*a(n-13) -188806*a(n-14) +657130*a(n-15) -216610*a(n-16) -282088*a(n-17) +299084*a(n-18) -320888*a(n-19) -25488*a(n-20) +130096*a(n-21) -166448*a(n-22) -3680*a(n-23) +14752*a(n-24) -23360*a(n-25) +12288*a(n-26) +6144*a(n-27)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Sequence in context: A202682 A089639 A269091 * A204700 A267953 A206645

Adjacent sequences:  A204970 A204971 A204972 * A204974 A204975 A204976

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 21 2012

STATUS

approved

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Last modified August 14 03:14 EDT 2022. Contains 356109 sequences. (Running on oeis4.)