A303883 - OEIS

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A303883

Number of nX3 0..1 arrays with every element unequal to 0, 2, 3 or 4 king-move adjacent elements, with upper left element zero.

1, 8, 11, 36, 87, 256, 684, 1932, 5308, 14809, 41025, 114088, 316733, 880136, 2444724, 6792145, 18868672, 52420409, 145629432, 404580097, 1123976982, 3122570154, 8674939898, 24100237936, 66953936965, 186007780911, 516756709968

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Column 3 of A303888.

LINKS

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

FORMULA

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

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303888.

Sequence in context: A160796 A160416 A056873 * A304889 A192427 A258285

Adjacent sequences: A303880 A303881 A303882 * A303884 A303885 A303886

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 02 2018

STATUS

approved