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A232909 Number of (1+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally. 1
0, 10, 52, 82, 432, 2372, 8456, 29970, 132972, 547554, 2102096, 8441132, 34612080, 138342906, 551613860, 2224984018, 8958729072, 35906450644, 144189580120, 579895060802, 2329383080028, 9353592833314, 37582177354512, 151003083442364 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-2) + 28*a(n-3) + 80*a(n-4) + 48*a(n-5) - 67*a(n-6) - 228*a(n-7) - 224*a(n-8).

Empirical g.f.: 2*x^2*(5 + 26*x + 21*x^2 - 28*x^3 - 106*x^4 - 104*x^5) / ((1 + x + 7*x^2)*(1 - x - 10*x^2 - 11*x^3 + x^4 + 28*x^5 + 32*x^6)). - Colin Barker, Oct 06 2018

EXAMPLE

Some solutions for n=5:

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

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

CROSSREFS

Row 1 of A232908.

Sequence in context: A135242 A041186 A058827 * A028994 A257042 A092966

Adjacent sequences:  A232906 A232907 A232908 * A232910 A232911 A232912

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 02 2013

STATUS

approved

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Last modified May 9 13:34 EDT 2021. Contains 343742 sequences. (Running on oeis4.)