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A280065 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1
2, 4, 15, 52, 170, 603, 2157, 7777, 28195, 102429, 372430, 1355019, 4930977, 17946466, 65320396, 237756751, 865411414, 3150039989, 11465974491, 41735611962, 151915810407, 552967220870, 2012778077066, 7326430841669 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A280069.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -21*a(n-3) -4*a(n-4) +34*a(n-5) +25*a(n-6) -37*a(n-7) -82*a(n-8) +44*a(n-9) +36*a(n-10) +6*a(n-11) -a(n-12) -5*a(n-13) -3*a(n-14) +a(n-15) for n>18

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A280069.

Sequence in context: A332234 A316726 A308345 * A188228 A243796 A153939

Adjacent sequences:  A280062 A280063 A280064 * A280066 A280067 A280068

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 25 2016

STATUS

approved

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Last modified May 7 10:32 EDT 2021. Contains 343650 sequences. (Running on oeis4.)