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A280280 Number of n X 3 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
1, 46, 996, 16860, 259040, 3753846, 52433492, 713549156, 9525564453, 125290653912, 1628677694816, 20969760499276, 267857168480060, 3398651430782436, 42877264217760487, 538272025956290688 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A280284.
LINKS
FORMULA
Empirical: a(n) = 20*a(n-1) -48*a(n-2) -636*a(n-3) +286*a(n-4) +4870*a(n-5) +2994*a(n-6) -7250*a(n-7) -20395*a(n-8) -27254*a(n-9) +18145*a(n-10) +42436*a(n-11) +25187*a(n-12) +8976*a(n-13) -53063*a(n-14) +3942*a(n-15) +11087*a(n-16) -3576*a(n-17) +616*a(n-18) -6944*a(n-19) -48*a(n-20) +512*a(n-21) -384*a(n-22) -256*a(n-24) for n>25.
EXAMPLE
Some solutions for n=4
..0..1..2. .0..1..1. .0..0..1. .0..1..2. .0..1..2. .0..1..1. .0..1..0
..2..2..0. .1..2..0. .1..1..0. .1..0..1. .0..1..0. .1..2..0. .1..2..0
..0..0..1. .0..1..0. .1..0..2. .0..0..2. .1..2..2. .2..2..2. .0..1..0
..1..0..2. .0..0..1. .2..1..2. .2..1..1. .1..1..0. .1..1..0. .1..0..1
CROSSREFS
Cf. A280284.
Sequence in context: A002138 A205495 A281655 * A010962 A057465 A035718
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 30 2016
STATUS
approved

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Last modified February 27 21:03 EST 2024. Contains 370378 sequences. (Running on oeis4.)