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A204369 Number of (n+2) X 9 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order. 1
13693, 11671, 6786, 6772, 7376, 9272, 12896, 24064, 54880, 136096, 360416, 973952, 2644160, 7212160, 19693504, 53781184, 146920256, 401383616, 1096566464, 2995860928, 8184835264, 22361328832, 61092268736, 166907175104, 455998779584 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A204370.

LINKS

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

FORMULA

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

Empirical g.f.: x*(13693 - 29408*x - 28227*x^2 - 13586*x^3 + 69218*x^4 + 57170*x^5 - 28976*x^6 - 20676*x^7 - 200*x^8) / ((1 - x)*(1 - 2*x - 2*x^2)*(1 - 2*x^3)). - Colin Barker, Jun 07 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

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

CROSSREFS

Cf. A204370.

Sequence in context: A203727 A088870 A047827 * A226020 A157669 A236052

Adjacent sequences:  A204366 A204367 A204368 * A204370 A204371 A204372

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2012

STATUS

approved

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Last modified August 12 07:45 EDT 2022. Contains 356067 sequences. (Running on oeis4.)