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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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2017
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)