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A282554 Number of nX2 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element. 1
0, 0, 10, 36, 154, 652, 2472, 9356, 34766, 126780, 457966, 1638696, 5816976, 20517784, 71966162, 251201940, 873150786, 3023695364, 10436408760, 35915418404, 123269647510, 422072810028, 1442015669910, 4916848151328 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Column 2 of A282560.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -7*a(n-2) -2*a(n-3) -29*a(n-4) +44*a(n-5) +12*a(n-6) +32*a(n-7) -64*a(n-8).

G.f.: 2*x^3*(2*x-1)*(2*x-5)/(1-3*x-x^2-2*x^3+8*x^4)^2 . - R. J. Mathar, Feb 28 2017

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A282560.

Sequence in context: A153371 A248463 A169880 * A240151 A264486 A220199

Adjacent sequences:  A282551 A282552 A282553 * A282555 A282556 A282557

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 18 2017

STATUS

approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)