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A208429 Number of nX3 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors) 1
5, 54, 129, 339, 1123, 4155, 15273, 55715, 205199, 758647, 2804053, 10360467, 38311103, 141717367, 524247989, 1939302323, 7174276855, 26541315667, 98190495765, 363259275051, 1343896481903, 4971825005443, 18393576694105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A208434

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +8*a(n-2) -18*a(n-3) -17*a(n-5) -116*a(n-6) +256*a(n-7) +184*a(n-8) -335*a(n-9) +260*a(n-10) -644*a(n-11) -368*a(n-12) +2013*a(n-13) -564*a(n-14) -1664*a(n-15) -1063*a(n-16) +1284*a(n-17) +3156*a(n-18) -1962*a(n-19) -256*a(n-20) +1020*a(n-21) -1448*a(n-22) -96*a(n-23) +144*a(n-24) +352*a(n-25) -128*a(n-26) for n>28

EXAMPLE

Some solutions for n=4

..0..1..0....0..1..2....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0

..2..1..2....1..2..1....1..1..1....1..2..1....1..1..2....0..0..2....1..0..2

..0..1..0....0..1..0....2..1..2....2..2..2....1..2..2....1..2..2....1..1..2

..2..1..2....1..0..1....0..2..0....0..0..0....0..0..2....1..1..2....1..0..2

CROSSREFS

Sequence in context: A275499 A275396 A275261 * A275353 A221544 A268882

Adjacent sequences:  A208426 A208427 A208428 * A208430 A208431 A208432

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 26 2012

STATUS

approved

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Last modified October 25 20:31 EDT 2021. Contains 348256 sequences. (Running on oeis4.)