A232518 - OEIS

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

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