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A297871 Number of nX3 0..1 arrays with every element equal to 2, 3 or 5 king-move adjacent elements, with upper left element zero. 2
0, 3, 0, 3, 0, 3, 6, 23, 68, 205, 572, 1553, 4208, 11405, 30988, 84553, 231176, 632915, 1734004, 4751591, 13021550, 35685855, 97797264, 268015939, 734511376, 2012982445, 5516772882, 15119337301, 41436399090, 113561805901, 311231201784 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A297876.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +5*a(n-2) -3*a(n-3) -15*a(n-4) -9*a(n-5) +24*a(n-6) +29*a(n-7) -a(n-8) -36*a(n-9) -67*a(n-10) -23*a(n-11) +49*a(n-12) +43*a(n-13) +14*a(n-14) +3*a(n-15) -4*a(n-16) -2*a(n-17) for n>18

EXAMPLE

All solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297876.

Sequence in context: A221168 A194084 A262281 * A292130 A291971 A240923

Adjacent sequences:  A297868 A297869 A297870 * A297872 A297873 A297874

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 07 2018

STATUS

approved

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Last modified May 15 10:54 EDT 2021. Contains 343909 sequences. (Running on oeis4.)