

A302803


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


1



4, 29, 169, 1010, 6084, 36456, 218640, 1312416, 7873344, 47237760, 283440384, 1700614656, 10203632640, 61222127616, 367332102144, 2203991285760, 13223955677184, 79343718137856, 476062276976640, 2856373852962816
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OFFSET

1,1


COMMENTS

Column 3 of A302808.


LINKS

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


FORMULA

Empirical: a(n) = 6*a(n1) +24*a(n3) 144*a(n4) for n>6


EXAMPLE

Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1. .0..1..1
..1..1..0. .1..1..0. .1..0..0. .0..0..1. .1..1..0. .1..1..1. .1..0..1
..1..0..1. .0..0..0. .1..1..1. .1..0..1. .0..0..0. .1..0..1. .0..1..1
..0..0..1. .0..0..0. .1..1..1. .1..0..1. .1..0..1. .0..0..1. .0..1..0
..0..1..1. .0..0..1. .0..0..1. .1..0..0. .0..1..1. .1..1..1. .0..0..1


CROSSREFS

Cf. A302808.
Sequence in context: A273209 A273271 A200069 * A300806 A303464 A301445
Adjacent sequences: A302800 A302801 A302802 * A302804 A302805 A302806


KEYWORD

nonn


AUTHOR

R. H. Hardin, Apr 13 2018


STATUS

approved



