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A298216 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 2
4, 13, 20, 40, 89, 195, 451, 1046, 2453, 5810, 13796, 32903, 78633, 188163, 450830, 1080857, 2592672, 6221496, 14932953, 35849159, 86073611, 206681378, 496321653, 1191918914, 2862503060, 6874749395, 16511107561, 39655346739, 95242735994 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A298221.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-3) -13*a(n-4) +3*a(n-5) -a(n-6) +18*a(n-7) -4*a(n-8) +7*a(n-9) -7*a(n-10) +5*a(n-11) -6*a(n-12) -a(n-13) -4*a(n-14) for n>15

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298221.

Sequence in context: A030744 A173512 A295159 * A299092 A299874 A299010

Adjacent sequences:  A298213 A298214 A298215 * A298217 A298218 A298219

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified January 20 21:46 EST 2022. Contains 350472 sequences. (Running on oeis4.)