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A300961 Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 5, 16, 44, 159, 580, 2145, 8034, 30017, 113054, 426489, 1609240, 6078735, 22967236, 86790502, 328025891, 1239827639, 4686314366, 17713839936, 66957270615, 253096517486, 956701365708, 3616324822124, 13669703752446 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A300966.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +5*a(n-2) +2*a(n-3) -30*a(n-4) -29*a(n-5) -3*a(n-6) +26*a(n-7) +89*a(n-8) +79*a(n-9) -20*a(n-10) -52*a(n-11) -28*a(n-12) +96*a(n-13) +12*a(n-14) +4*a(n-15) -39*a(n-16) -17*a(n-17) -4*a(n-18) -3*a(n-19) +7*a(n-20) -3*a(n-21) +2*a(n-22) for n > 24.

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300966.

Sequence in context: A144952 A053220 A048777 * A270134 A269754 A282425

Adjacent sequences:  A300958 A300959 A300960 * A300962 A300963 A300964

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 17 2018

STATUS

approved

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Last modified October 21 01:35 EDT 2021. Contains 348131 sequences. (Running on oeis4.)