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A220213 Majority value maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..1 n X 2 array. 1
2, 6, 23, 75, 241, 777, 2512, 8132, 26335, 85263, 276002, 893434, 2892149, 9362316, 30307241, 98109034, 317593232, 1028095430, 3328094579, 10773527296, 34875478670, 112897008686, 365464073909, 1183060479295, 3829739222562 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A220217.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + 3*a(n-3) + 7*a(n-4) + 9*a(n-5) + 12*a(n-6) + 11*a(n-7) + 4*a(n-8) + 4*a(n-9).

Empirical g.f.: x*(2 + 2*x + 7*x^2 + 11*x^3 + 13*x^4 + 16*x^5 + 12*x^6 + 5*x^7 + 4*x^8) / (1 - 2*x - 2*x^2 - 3*x^3 - 7*x^4 - 9*x^5 - 12*x^6 - 11*x^7 - 4*x^8 - 4*x^9). - Colin Barker, Jul 31 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A220217.

Sequence in context: A298817 A245125 A290954 * A217200 A110068 A247211

Adjacent sequences:  A220210 A220211 A220212 * A220214 A220215 A220216

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 07 2012

STATUS

approved

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Last modified September 18 03:09 EDT 2021. Contains 347504 sequences. (Running on oeis4.)