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A300925 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 11, 75, 508, 3447, 23404, 158855, 1078231, 7318522, 49674630, 337167639, 2288532749, 15533466237, 105433742828, 715633842274, 4857380402810, 32969576037134, 223781720583309, 1518923337407277, 10309725472244584 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A300930.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +6*a(n-2) -3*a(n-3) -9*a(n-4) -6*a(n-5) +3*a(n-6) +6*a(n-7) +2*a(n-8) for n>10

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300930.

Sequence in context: A231917 A289419 A027226 * A347987 A157232 A305661

Adjacent sequences:  A300922 A300923 A300924 * A300926 A300927 A300928

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 15 2018

STATUS

approved

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Last modified August 17 19:38 EDT 2022. Contains 356189 sequences. (Running on oeis4.)