

A279801


Number of nX2 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.


4



0, 2, 22, 196, 1848, 16720, 149392, 1317720, 11508016, 99674848, 857347424, 7330950944, 62366312416, 528216075200, 4456342509184, 37466616823680, 314030294836992, 2624804780948864, 21884570459044608, 182051987035756544
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OFFSET

1,2


COMMENTS

Column 2 of A279805.


LINKS

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


FORMULA

Empirical: a(n) = 16*a(n1) 64*a(n2) 8*a(n3) +72*a(n4) 88*a(n5) +144*a(n6) +288*a(n7) 112*a(n8) 32*a(n9) 16*a(n10) 384*a(n11) 256*a(n12)


EXAMPLE

Some solutions for n=4
..0..0. .0..0. .0..1. .0..1. .0..0. .0..1. .0..0. .0..1. .0..1. .0..1
..1..1. .1..1. .1..1. .1..1. .1..0. .0..0. .1..0. .1..1. .2..1. .2..0
..2..2. .1..0. .2..0. .0..2. .2..2. .0..2. .2..0. .2..2. .2..0. .1..1
..2..1. .1..0. .0..2. .1..0. .0..0. .2..1. .1..1. .1..2. .2..2. .1..2


CROSSREFS

Cf. A279805.
Sequence in context: A270407 A000184 A007613 * A043037 A058441 A255043
Adjacent sequences: A279798 A279799 A279800 * A279802 A279803 A279804


KEYWORD

nonn


AUTHOR

R. H. Hardin, Dec 19 2016


STATUS

approved



