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A300918 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 5, 20, 76, 290, 1245, 5160, 21819, 91713, 388059, 1639111, 6934811, 29326929, 124078694, 524899537, 2220794401, 9395650615, 39752075589, 168185729492, 711577787970, 3010611147958, 12737611709683, 53891601910235 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A300923.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +11*a(n-2) +a(n-3) -17*a(n-4) -46*a(n-5) -68*a(n-6) -42*a(n-7) +4*a(n-8) +43*a(n-9) +28*a(n-10) -34*a(n-11) -12*a(n-12) +8*a(n-13) +46*a(n-14) +22*a(n-15) +15*a(n-16) -2*a(n-17) -2*a(n-18) -3*a(n-19) -a(n-21) for n>22

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300923.

Sequence in context: A000758 A005283 A057552 * A269708 A295347 A270985

Adjacent sequences:  A300915 A300916 A300917 * A300919 A300920 A300921

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 15 2018

STATUS

approved

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)