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A279582 Number of 3Xn 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
0, 40, 944, 20776, 406200, 7630156, 138602548, 2461556084, 42965101580, 739900893296, 12604712050308, 212833814657368, 3567237354560504, 59415173946814708, 984289294203593368, 16229966112949514160 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A279580.

LINKS

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

FORMULA

Empirical: a(n) = 30*a(n-1) -193*a(n-2) -806*a(n-3) +5244*a(n-4) -3702*a(n-5) -44457*a(n-6) +168874*a(n-7) -44225*a(n-8) -677108*a(n-9) +1762660*a(n-10) -3494200*a(n-11) +2285580*a(n-12) +7892104*a(n-13) -49295732*a(n-14) +85826880*a(n-15) +16178028*a(n-16) +39772848*a(n-17) -8887104*a(n-18) -709316944*a(n-19) -206842096*a(n-20) +1139690528*a(n-21) +669113648*a(n-22) +469494336*a(n-23) -502677568*a(n-24) -1400698624*a(n-25) -681275392*a(n-26) -151843840*a(n-27) +134114304*a(n-28) +595562496*a(n-29) +3567616*a(n-30) +175964160*a(n-31) -113377280*a(n-32) -26214400*a(n-34) for n>35

EXAMPLE

Some solutions for n=4

..0..1..0..0. .0..1..0..1. .0..1..2..0. .0..1..0..2. .0..1..2..0

..2..1..1..2. .1..2..0..1. .2..1..2..0. .1..1..1..0. .2..0..2..2

..0..2..0..0. .2..2..0..2. .1..2..2..1. .2..0..2..0. .1..2..0..0

CROSSREFS

Cf. A279580.

Sequence in context: A013349 A140220 A130610 * A004339 A172510 A004349

Adjacent sequences:  A279579 A279580 A279581 * A279583 A279584 A279585

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 15 2016

STATUS

approved

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Last modified December 3 15:34 EST 2021. Contains 349463 sequences. (Running on oeis4.)