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A279979 Number of 3Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1
0, 9, 50, 221, 822, 2669, 8068, 23169, 64250, 173509, 459148, 1195219, 3069280, 7791834, 19587853, 48827241, 120818815, 297018329, 725970958, 1765237102, 4272245780, 10296018246, 24717636634, 59130589267, 140997069400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A279977.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -33*a(n-2) +60*a(n-3) -36*a(n-4) -78*a(n-5) +199*a(n-6) -165*a(n-7) -33*a(n-8) +200*a(n-9) -180*a(n-10) +66*a(n-11) +22*a(n-12) -78*a(n-13) +84*a(n-14) -40*a(n-15) -21*a(n-16) +15*a(n-17) -3*a(n-18) +18*a(n-19) +6*a(n-20) -4*a(n-21) -3*a(n-22) -3*a(n-23) -a(n-24) for n>30

EXAMPLE

Some solutions for n=4

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

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

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

CROSSREFS

Cf. A279977.

Sequence in context: A280549 A084367 A006974 * A222993 A171480 A257589

Adjacent sequences:  A279976 A279977 A279978 * A279980 A279981 A279982

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 24 2016

STATUS

approved

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Last modified May 26 16:03 EDT 2019. Contains 323597 sequences. (Running on oeis4.)