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A281717 Number of 3Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1
4, 4, 8, 38, 90, 305, 902, 2710, 8376, 25226, 77145, 235122, 715882, 2186483, 6666846, 20353268, 62140942, 189739429, 579567532, 1770391431, 5409031357, 16528102350, 50508922108, 154369025240, 471828803722, 1442250315610, 4408832591287 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A281715.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +8*a(n-2) -16*a(n-3) -46*a(n-4) +39*a(n-5) +121*a(n-6) -66*a(n-7) -185*a(n-8) +78*a(n-9) +216*a(n-10) -71*a(n-11) -182*a(n-12) +51*a(n-13) +107*a(n-14) -24*a(n-15) -43*a(n-16) +7*a(n-17) +10*a(n-18) -a(n-19) -a(n-20) for n>21

EXAMPLE

Some solutions for n=4

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

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

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

CROSSREFS

Cf. A281715.

Sequence in context: A096252 A102369 A298569 * A205971 A118016 A201989

Adjacent sequences:  A281714 A281715 A281716 * A281718 A281719 A281720

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 28 2017

STATUS

approved

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Last modified October 17 05:00 EDT 2021. Contains 348048 sequences. (Running on oeis4.)