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A232070 Number of (n+1) X (2+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero. 1
15, 87, 602, 3985, 26713, 178484, 1193537, 7979619, 53352090, 356709629, 2384952501, 15945724308, 106612681357, 712809462455, 4765824578786, 31864172723641, 213042987115297, 1424399583243252, 9523496644232169 (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) = 5*a(n-1) + 11*a(n-2) + 2*a(n-3) - 8*a(n-5).

Empirical g.f.: x*(15 + 12*x + 2*x^2 - 12*x^3 - 8*x^4) / (1 - 5*x - 11*x^2 - 2*x^3 + 8*x^5). - Colin Barker, Oct 03 2018

EXAMPLE

Some solutions for n=6:

..0..0..0....0..1..0....0..1..0....0..0..0....0..1..0....0..0..0....0..0..0

..1..1..0....1..0..0....0..0..1....1..1..0....0..0..1....0..1..0....1..0..0

..0..1..1....0..0..0....0..1..1....1..0..0....0..0..0....1..0..0....1..1..1

..1..0..1....0..0..0....1..0..1....1..1..1....1..1..0....0..1..0....0..0..0

..0..1..0....0..1..0....1..0..0....1..1..1....0..0..0....1..1..1....1..0..1

..0..1..0....1..0..1....1..1..1....0..0..0....1..0..0....0..0..1....1..1..0

..1..0..1....1..1..0....0..0..0....0..0..0....0..1..1....0..1..0....1..1..1

CROSSREFS

Column 2 of A232076.

Sequence in context: A309922 A302948 A230676 * A219598 A241433 A220150

Adjacent sequences:  A232067 A232068 A232069 * A232071 A232072 A232073

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified June 16 20:32 EDT 2021. Contains 345069 sequences. (Running on oeis4.)