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A298707 Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 1
0, 3, 0, 2, 6, 20, 22, 92, 206, 460, 1176, 2966, 6898, 17232, 42850, 103328, 254344, 630010, 1536786, 3773848, 9309476, 22822020, 56028990, 137918372, 338696066, 831789610, 2045396676, 5025784292, 12346278992, 30346864108, 74575773746 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298712.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-3) -5*a(n-4) -23*a(n-5) -50*a(n-6) -2*a(n-7) +70*a(n-8) +84*a(n-9) +33*a(n-10) -86*a(n-11) -24*a(n-12) +2*a(n-13) +44*a(n-14) -14*a(n-15) -8*a(n-17) for n>18

EXAMPLE

All solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A298712.

Sequence in context: A048733 A309973 A298058 * A274417 A208764 A209129

Adjacent sequences:  A298704 A298705 A298706 * A298708 A298709 A298710

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 25 2018

STATUS

approved

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Last modified January 19 20:22 EST 2022. Contains 350466 sequences. (Running on oeis4.)