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A299092 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1
4, 13, 20, 41, 101, 242, 578, 1385, 3368, 8216, 20014, 48885, 119555, 292427, 715827, 1753080, 4294103, 10521578, 25786055, 63204089, 154942532, 379879302, 931443529, 2284029958, 5601114152, 13736265904, 33688529855, 82624915345 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A299097.

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) +4*a(n-3) -23*a(n-4) +18*a(n-5) -8*a(n-6) +47*a(n-7) -29*a(n-8) +26*a(n-9) -66*a(n-10) +17*a(n-11) -29*a(n-12) +46*a(n-13) -3*a(n-14) +18*a(n-15) -18*a(n-16) for n>17

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299097.

Sequence in context: A173512 A295159 A298216 * A299874 A299010 A299801

Adjacent sequences:  A299089 A299090 A299091 * A299093 A299094 A299095

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 02 2018

STATUS

approved

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Last modified December 2 16:17 EST 2021. Contains 349445 sequences. (Running on oeis4.)