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A316234 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
3, 9, 14, 29, 71, 153, 358, 956, 2612, 7512, 22712, 70354, 221685, 707752, 2276384, 7352905, 23817277, 77283822, 251019710, 815800421, 2652331295, 8625138591, 28051663849, 91240418019, 296781515740, 965379355175, 3140269013000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316239.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +10*a(n-3) -19*a(n-4) -14*a(n-5) -23*a(n-7) +17*a(n-8) -44*a(n-9) +131*a(n-10) +77*a(n-11) -105*a(n-12) -165*a(n-13) +99*a(n-14) +78*a(n-15) -42*a(n-16) -6*a(n-17) +4*a(n-18) for n>20

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316239.

Sequence in context: A136562 A305342 A197274 * A317155 A316422 A100785

Adjacent sequences:  A316231 A316232 A316233 * A316235 A316236 A316237

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 27 2018

STATUS

approved

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Last modified October 15 20:32 EDT 2021. Contains 348034 sequences. (Running on oeis4.)