A303237 - OEIS

A303237

Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 11, 18, 55, 181, 494, 1465, 4415, 12934, 38423, 114145, 337914, 1003161, 2976083, 8824906, 26185191, 77678573, 230413110, 683562697, 2027805127, 6015399582, 17845009895, 52937661977, 157040038306, 465863595657, 1381994981979

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OFFSET

1,2

COMMENTS

Column 3 of A303242.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +16*a(n-3) -36*a(n-4) +32*a(n-5) -63*a(n-6) +64*a(n-7) -51*a(n-8) +4*a(n-9) +60*a(n-10) +16*a(n-11) +112*a(n-12) +64*a(n-13)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303242.

Sequence in context: A188892 A168433 A302455 * A066950 A352955 A214495

Adjacent sequences: A303234 A303235 A303236 * A303238 A303239 A303240

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 20 2018

STATUS

approved