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A300883 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
3, 2, 4, 8, 17, 57, 148, 356, 864, 2272, 5766, 14438, 36379, 92632, 234473, 592300, 1497878, 3794198, 9602820, 24292985, 61469034, 155580439, 393724501, 996303601, 2521217660, 6380413994, 16146453573, 40860032492, 103400766211, 261668897174 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A300888.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-2) +7*a(n-3) +6*a(n-4) -15*a(n-5) -47*a(n-6) -47*a(n-7) +5*a(n-8) +102*a(n-9) +86*a(n-10) +23*a(n-12) +28*a(n-13) -51*a(n-14) -119*a(n-15) -24*a(n-16) +111*a(n-17) +69*a(n-18) -21*a(n-19) -27*a(n-20) -6*a(n-21) for n>25

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300888.

Sequence in context: A075087 A084657 A171559 * A019916 A201838 A099257

Adjacent sequences:  A300880 A300881 A300882 * A300884 A300885 A300886

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 14 2018

STATUS

approved

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Last modified May 21 09:15 EDT 2019. Contains 323441 sequences. (Running on oeis4.)