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A302815 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
4, 20, 75, 389, 1852, 8485, 41247, 196946, 931243, 4464289, 21314416, 101500589, 484945365, 2314846870, 11042132315, 52714123333, 251602109008, 1200668947009, 5730793024341, 27351896253430, 130538870872807, 623034403841625 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A302820.

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) +36*a(n-3) -62*a(n-4) -116*a(n-5) -142*a(n-6) -78*a(n-7) +150*a(n-8) -100*a(n-9) +176*a(n-10) +272*a(n-11) +320*a(n-12) -256*a(n-14)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302820.

Sequence in context: A329174 A057333 A196432 * A196508 A121257 A145563

Adjacent sequences:  A302812 A302813 A302814 * A302816 A302817 A302818

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 13 2018

STATUS

approved

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Last modified September 18 04:03 EDT 2021. Contains 347506 sequences. (Running on oeis4.)