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A281761 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
2, 40, 152, 560, 1872, 5948, 18358, 55048, 162120, 471340, 1355236, 3862260, 10924470, 30702868, 85814996, 238711156, 661252798, 1824976204, 5020176620, 13769014596, 37664818800, 102784444960, 279880084494, 760592396664 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A281765.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -13*a(n-2) -5*a(n-3) +19*a(n-4) +21*a(n-5) +3*a(n-6) -63*a(n-7) -59*a(n-8) +83*a(n-9) +140*a(n-10) -186*a(n-11) -149*a(n-12) +197*a(n-13) +248*a(n-14) +70*a(n-15) -370*a(n-16) -268*a(n-17) +503*a(n-18) +307*a(n-19) -822*a(n-20) -226*a(n-21) +724*a(n-22) -54*a(n-23) -310*a(n-24) +156*a(n-25) +80*a(n-26) -44*a(n-27) +3*a(n-28) +9*a(n-29) for n>32

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A281765.

Sequence in context: A073418 A275547 A269544 * A012477 A003760 A228240

Adjacent sequences:  A281758 A281759 A281760 * A281762 A281763 A281764

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2017

STATUS

approved

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Last modified December 13 23:14 EST 2019. Contains 329974 sequences. (Running on oeis4.)