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A298057 Number of n X 2 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. 2
1, 4, 3, 13, 32, 53, 125, 386, 727, 1601, 4568, 9985, 21185, 56082, 131531, 284005, 704432, 1701725, 3780885, 9013570, 21864175, 49853913, 116599048, 280872201, 652085433, 1515923218, 3617323651, 8484345565, 19735099744, 46724667589 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 2 of A298063.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + a(n-2) + 8*a(n-3) - 16*a(n-5).

Empirical g.f.: x*(1 + 3*x - 2*x^2 - 2*x^3 - 16*x^4) / (1 - x - x^2 - 8*x^3 + 16*x^5). - Colin Barker, Mar 22 2018

EXAMPLE

Some solutions for n=7:

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

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

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

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

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

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

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

CROSSREFS

Cf. A298063.

Sequence in context: A105200 A088933 A019136 * A140884 A082383 A216486

Adjacent sequences:  A298054 A298055 A298056 * A298058 A298059 A298060

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 11 2018

STATUS

approved

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Last modified January 26 22:05 EST 2022. Contains 350601 sequences. (Running on oeis4.)