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A298225 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 1
3, 4, 5, 17, 12, 100, 219, 498, 1999, 4953, 13928, 45164, 120865, 355474, 1065723, 2987665, 8792232, 25703174, 73648001, 215508142, 625811209, 1809121989, 5271819208, 15292192284, 44347119815, 128947618162, 374125557341 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A298230.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +13*a(n-3) -14*a(n-4) -29*a(n-5) -23*a(n-6) +29*a(n-7) +56*a(n-8) -30*a(n-9) -7*a(n-10) +41*a(n-11) +2*a(n-12) -26*a(n-13) -12*a(n-14) -15*a(n-15) -7*a(n-16) +16*a(n-17) +2*a(n-18) for n>19

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298230.

Sequence in context: A031199 A173027 A290014 * A278919 A173061 A174326

Adjacent sequences:  A298222 A298223 A298224 * A298226 A298227 A298228

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified August 14 01:00 EDT 2020. Contains 336473 sequences. (Running on oeis4.)