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A298503 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
1, 12, 10, 50, 148, 493, 2093, 8047, 31951, 128472, 511830, 2047349, 8191875, 32754509, 131023111, 524086312, 2096237838, 8384859457, 33538726179, 134151944073, 536597656559, 2146347416764, 8585218405150, 34340195856617 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298508.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -25*a(n-4) +24*a(n-5) -23*a(n-6) +21*a(n-7) +44*a(n-8) -69*a(n-9) -5*a(n-10) +48*a(n-11) -26*a(n-12) +22*a(n-13) -10*a(n-14) -8*a(n-15) +4*a(n-16) for n>18

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298508.

Sequence in context: A094450 A307166 A297910 * A038336 A236506 A087868

Adjacent sequences:  A298500 A298501 A298502 * A298504 A298505 A298506

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 20 2018

STATUS

approved

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Last modified April 11 16:42 EDT 2021. Contains 342888 sequences. (Running on oeis4.)