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A232079 Number of (3+1)X(n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero 1
34, 602, 6624, 91636, 1313477, 18480458, 259478100, 3648082844, 51295928745, 721205855171, 10139874360108, 142563684195350, 2004404663282803, 28181342842446164, 396221424711381995, 5570757356145256130 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A232076

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +51*a(n-2) +222*a(n-3) +815*a(n-4) +770*a(n-5) -1668*a(n-6) -4457*a(n-7) -7039*a(n-8) -6459*a(n-9) +2910*a(n-10) +4218*a(n-11) +4541*a(n-12) +9610*a(n-13) -285*a(n-14) -4890*a(n-15) -152*a(n-16) -224*a(n-17) +432*a(n-18) +512*a(n-19) -256*a(n-20)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A161991 A162381 A010986 * A264067 A004418 A322501

Adjacent sequences:  A232076 A232077 A232078 * A232080 A232081 A232082

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified August 13 19:30 EDT 2020. Contains 336451 sequences. (Running on oeis4.)