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A241126 Number of nX3 0..2 arrays with no element equal to exactly two horizontal and vertical neighbors, with new values 0..2 introduced in row major order 1
4, 54, 723, 9773, 132369, 1792237, 24269723, 328645291, 4450319537, 60263615333, 816054461063, 11050530322615, 149639792084929, 2026334190350265, 27439427668181531, 371568616043522567, 5031563999805819365 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A241130

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) -7*a(n-2) +27*a(n-3) -170*a(n-4) -631*a(n-5) -1135*a(n-6) +5278*a(n-7) -3113*a(n-8) +5125*a(n-9) +13678*a(n-10) -10325*a(n-11) +15744*a(n-12) -52520*a(n-13) -13756*a(n-14) -110176*a(n-15) +64424*a(n-16) -53672*a(n-17) -13552*a(n-18) +87456*a(n-19) -198528*a(n-20) +71552*a(n-21) -44288*a(n-22) -116224*a(n-23) -4096*a(n-24) -122880*a(n-25) -65536*a(n-26)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A269480 A199022 A221395 * A089205 A294041 A055774

Adjacent sequences:  A241123 A241124 A241125 * A241127 A241128 A241129

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 16 2014

STATUS

approved

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Last modified September 28 14:44 EDT 2022. Contains 357073 sequences. (Running on oeis4.)