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A299801 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
4, 13, 20, 44, 123, 343, 973, 2774, 7993, 23110, 66714, 192997, 558501, 1615967, 4676936, 13536345, 39177448, 113393194, 328199369, 949923737, 2749424053, 7957828042, 23032842153, 66665439494, 192954061684, 558479378315 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A299806.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +8*a(n-3) -26*a(n-4) +34*a(n-5) -18*a(n-6) +31*a(n-7) -29*a(n-8) -20*a(n-9) +54*a(n-10) -59*a(n-11) +67*a(n-12) -85*a(n-13) +46*a(n-14) -20*a(n-15) +24*a(n-16) for n>17

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299806.

Sequence in context: A299092 A299874 A299010 * A299677 A300309 A228138

Adjacent sequences:  A299798 A299799 A299800 * A299802 A299803 A299804

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 19 2018

STATUS

approved

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Last modified January 23 11:42 EST 2022. Contains 350512 sequences. (Running on oeis4.)