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A298496 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
3, 3, 1, 4, 5, 6, 20, 35, 70, 174, 365, 789, 1818, 3997, 8829, 19887, 44199, 98280, 219831, 489860, 1091470, 2436279, 5432314, 12111558, 27017683, 60251823, 134360364, 299668975, 668310211, 1490410101, 3323947595, 7412988676 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A298501.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -4*a(n-4) -10*a(n-5) -11*a(n-6) +5*a(n-7) +12*a(n-8) +6*a(n-9) -5*a(n-10) -a(n-11) +7*a(n-12) +3*a(n-13) -3*a(n-14) -3*a(n-15) for n>16

EXAMPLE

Some solutions for n=8

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A298501.

Sequence in context: A164731 A226576 A297902 * A137919 A079081 A199775

Adjacent sequences:  A298493 A298494 A298495 * A298497 A298498 A298499

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 20 2018

STATUS

approved

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Last modified October 31 08:46 EDT 2020. Contains 338101 sequences. (Running on oeis4.)