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A266013 Number of 3Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. 1
1, 2, 6, 4, 11, 18, 27, 43, 62, 112, 191, 310, 548, 883, 1467, 2535, 4210, 6993, 11848, 19780, 33042, 55676, 93207, 155834, 261837, 438753, 734590, 1232614, 2065881, 3460646, 5803604, 9727967, 16300819, 27328897, 45809212, 76772793, 128697166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A266012.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-3) +2*a(n-4) +2*a(n-5) +a(n-6) -2*a(n-7) -2*a(n-8) -3*a(n-9) +2*a(n-10) +2*a(n-11) +5*a(n-12) -a(n-15) for n>19

EXAMPLE

All solutions for n=4

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

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

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

CROSSREFS

Cf. A266012.

Sequence in context: A065880 A090546 A242901 * A222423 A059909 A145177

Adjacent sequences:  A266010 A266011 A266012 * A266014 A266015 A266016

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 20 2015

STATUS

approved

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Last modified April 26 11:11 EDT 2017. Contains 285444 sequences.