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A281078 Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
0, 318, 2948, 10474, 32244, 89042, 231146, 578810, 1415986, 3412832, 8138242, 19255302, 45279250, 105930602, 246729068, 572425420, 1323415002, 3050017738, 7009194836, 16066007352, 36738631114, 83830589316, 190908674356 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 6 of A281080.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -32*a(n-2) +56*a(n-3) -48*a(n-4) +16*a(n-5) +4*a(n-7) -20*a(n-8) +26*a(n-9) +18*a(n-10) -66*a(n-11) +46*a(n-12) -14*a(n-14) +14*a(n-15) -4*a(n-16) -12*a(n-17) -5*a(n-18) +25*a(n-19) -10*a(n-20) -2*a(n-21) -a(n-22) -5*a(n-23) +10*a(n-24) -2*a(n-25) -2*a(n-26) -a(n-28) +a(n-29) for n>37

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A281080.

Sequence in context: A278131 A075153 A204835 * A262846 A225579 A261281

Adjacent sequences:  A281075 A281076 A281077 * A281079 A281080 A281081

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2017

STATUS

approved

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Last modified May 17 19:21 EDT 2022. Contains 353778 sequences. (Running on oeis4.)