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A241074 Number of nX3 0..2 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..2 introduced in row major order 1
2, 12, 67, 386, 2333, 14438, 90729, 576616, 3692697, 23768052, 153496623, 993485284, 6439467991, 41777922610, 271212402395, 1761347749066, 11441763716997, 74338495106470, 483038660675361, 3138923546597920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A241078

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) -53*a(n-2) +90*a(n-3) -196*a(n-4) +404*a(n-5) +124*a(n-6) +242*a(n-7) -955*a(n-8) -3141*a(n-9) -2695*a(n-10) +1876*a(n-11) +9112*a(n-12) +7732*a(n-13) +8168*a(n-14) -12592*a(n-15) -17664*a(n-16) -3904*a(n-17) +11648*a(n-18) +4864*a(n-19) -3072*a(n-20) for n>21

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A265451 A180195 A212389 * A020062 A185035 A185235

Adjacent sequences:  A241071 A241072 A241073 * A241075 A241076 A241077

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 15 2014

STATUS

approved

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Last modified June 27 04:37 EDT 2022. Contains 354888 sequences. (Running on oeis4.)