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A301959 Number of nX3 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1
3, 6, 16, 40, 100, 252, 632, 1588, 3988, 10016, 25156, 63180, 158680, 398532, 1000932, 2513888, 6313748, 15857276, 39826296, 100025620, 251219060, 630948512, 1584656932, 3979940588, 9995808408, 25104944036, 63052250436, 158358699360 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A301964.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-2) +2*a(n-3)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A301964.

Sequence in context: A046211 A239980 A205770 * A018022 A166536 A128720

Adjacent sequences: A301956 A301957 A301958 * A301960 A301961 A301962

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 29 2018

STATUS

approved

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Last modified February 1 21:22 EST 2023. Contains 359997 sequences. (Running on oeis4.)