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A300607 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 10, 53, 277, 1432, 7514, 39330, 205958, 1078479, 5647607, 29574290, 154869427, 810992627, 4246863308, 22239224467, 116458451229, 609849090084, 3193550233566, 16723421015675, 87574263789114, 458593470239206 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A300612.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +5*a(n-2) -19*a(n-3) -6*a(n-4) +12*a(n-5) -2*a(n-6) +20*a(n-7) +15*a(n-8) -49*a(n-9) -35*a(n-10) +15*a(n-11) +4*a(n-12) +16*a(n-13) +36*a(n-14) +8*a(n-15) -16*a(n-16) -8*a(n-17) for n>18

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300612.

Sequence in context: A006889 A300422 A300684 * A301349 A007035 A093187

Adjacent sequences:  A300604 A300605 A300606 * A300608 A300609 A300610

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 09 2018

STATUS

approved

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Last modified December 8 14:41 EST 2021. Contains 349596 sequences. (Running on oeis4.)