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A298163 Number of n X 4 0..1 arrays with every element equal to 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 2
0, 2, 2, 4, 6, 11, 18, 31, 53, 91, 156, 269, 464, 802, 1389, 2410, 4188, 7290, 12709, 22188, 38790, 67902, 119006, 208808, 366763, 644841, 1134799, 1998740, 3523204, 6214955, 10970665, 19377607, 34246676, 60557515, 107134803, 189622060 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298167.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + a(n-2) - a(n-3) - 2*a(n-4) - 2*a(n-5) + a(n-6) + a(n-7).

Empirical g.f.: x^2*(2 - 2*x - 2*x^2 - 2*x^3 + x^4 + 2*x^5) / ((1 - x - x^2)*(1 - x - x^2 - x^3 + x^5)). - Colin Barker, Mar 23 2018

EXAMPLE

Some solutions for n=8:

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A298167.

Sequence in context: A124346 A300797 A033961 * A201542 A000672 A129860

Adjacent sequences:  A298160 A298161 A298162 * A298164 A298165 A298166

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2018

STATUS

approved

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Last modified May 21 11:28 EDT 2022. Contains 353908 sequences. (Running on oeis4.)