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A232670 Number of (n+1) X (1+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally. 1
36, 212, 1568, 11878, 87680, 651678, 4846056, 35990386, 267429284, 1987124934, 14763908592, 109698051138, 815067420300, 6055993810126, 44996556671640, 334327945984154, 2484081968889732, 18456924487924070, 137136383652862288 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 21*a(n-2) + 118*a(n-3) + 170*a(n-4) + 166*a(n-5) - 52*a(n-6) - 48*a(n-7) - 64*a(n-8).

Empirical g.f.: 2*x*(18 + 70*x + 194*x^2 + 21*x^3 - 70*x^4 - 80*x^5 - 32*x^6) / (1 - 2*x - 21*x^2 - 118*x^3 - 170*x^4 - 166*x^5 + 52*x^6 + 48*x^7 + 64*x^8). - Colin Barker, Oct 05 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 1 of A232677.

Sequence in context: A120465 A144523 A232677 * A230470 A066610 A176696

Adjacent sequences:  A232667 A232668 A232669 * A232671 A232672 A232673

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 27 2013

STATUS

approved

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Last modified August 19 18:30 EDT 2022. Contains 356229 sequences. (Running on oeis4.)