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A232518 Number of (3+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal 1
8, 200, 128, 2516, 1730, 32084, 24388, 408486, 338230, 5204242, 4662970, 66327440, 63885378, 845656538, 870767072, 10785923316, 11815519304, 137619885396, 159699421970, 1756562816428, 2151083831244, 22428629238030, 28885857815230 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A232515

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-2) +a(n-3) +11*a(n-4) +a(n-5) -30*a(n-6) -22*a(n-7) +8*a(n-8) +8*a(n-9).

Empirical: G.f.: ( -8-200*x-32*x^2-108*x^3+94*x^4+444*x^5+256*x^6-120*x^7-120*x^8 ) / ( -1+12*x^2+x^3+11*x^4+x^5-30*x^6-22*x^7+8*x^8+8*x^9 ). - R. J. Mathar, Nov 23 2014

EXAMPLE

Some solutions for n=7

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

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

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

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

CROSSREFS

Sequence in context: A208703 A304398 A020329 * A229265 A323562 A034861

Adjacent sequences:  A232515 A232516 A232517 * A232519 A232520 A232521

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 25 2013

STATUS

approved

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Last modified September 21 10:46 EDT 2021. Contains 347597 sequences. (Running on oeis4.)