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A300876 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
4, 18, 52, 148, 440, 1367, 4297, 13510, 42216, 131239, 407238, 1264321, 3929780, 12224311, 38033755, 118318333, 367999398, 1144440136, 3559039439, 11068454635, 34423573923, 107061087524, 332971544913, 1035570611253, 3220697791617 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A300881.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -15*a(n-2) +44*a(n-4) -42*a(n-5) -42*a(n-6) +45*a(n-7) +44*a(n-8) -3*a(n-9) -15*a(n-10) -49*a(n-11) -52*a(n-12) -26*a(n-13) +86*a(n-14) +194*a(n-15) +84*a(n-16) +42*a(n-17) -92*a(n-18) -76*a(n-19) -43*a(n-20) -a(n-21) +13*a(n-22) +4*a(n-23) +3*a(n-24) -a(n-25) for n>26

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300881.

Sequence in context: A027659 A059133 A300493 * A301486 A284607 A297945

Adjacent sequences:  A300873 A300874 A300875 * A300877 A300878 A300879

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 14 2018

STATUS

approved

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Last modified May 26 16:47 EDT 2019. Contains 323597 sequences. (Running on oeis4.)