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A299010 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1
4, 13, 20, 44, 123, 343, 957, 2710, 7749, 22170, 63434, 181941, 521609, 1495695, 4290128, 12304541, 35291808, 101228002, 290349737, 832808429, 2388749945, 6851656946, 19652642153, 56369797674, 161685824712, 463764471339 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A299015.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +5*a(n-3) -22*a(n-4) +14*a(n-5) -a(n-6) +24*a(n-7) -a(n-8) -38*a(n-9) +61*a(n-10) -84*a(n-11) +77*a(n-12) -89*a(n-13) +54*a(n-14) -20*a(n-15) +24*a(n-16) for n>17

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299015.

Sequence in context: A298216 A299092 A299874 * A299801 A299677 A300309

Adjacent sequences:  A299007 A299008 A299009 * A299011 A299012 A299013

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 31 2018

STATUS

approved

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Last modified November 27 16:35 EST 2021. Contains 349394 sequences. (Running on oeis4.)