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A231106 Number of nX6 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 1
0, 68, 1748, 53530, 1608428, 48463174, 1459796386, 43973372728, 1324601869208, 39900761486200, 1201923918350574, 36205352039307450, 1090607729123289700, 32852193168911490342, 989601088617366786966, 29809587127374534704744 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 6 of A231108

LINKS

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

FORMULA

Empirical: a(n) = 27*a(n-1) +107*a(n-2) -371*a(n-3) -619*a(n-4) +1973*a(n-5) -4094*a(n-6) -6823*a(n-7) +13505*a(n-8) +32211*a(n-9) +15873*a(n-10) -10017*a(n-11) -12894*a(n-12) -4544*a(n-13) -777*a(n-14) -244*a(n-15) -32*a(n-16) +16*a(n-17) for n>18

EXAMPLE

Some solutions for n=4

..0..1..2..3..2..1....0..1..2..3..0..3....0..1..2..1..0..3....0..1..0..3..0..3

..0..1..0..1..2..3....2..3..0..1..2..1....0..3..0..3..0..3....2..3..0..1..2..3

..0..3..2..3..0..3....0..1..2..1..3..2....2..3..0..1..0..1....2..1..0..1..0..1

..0..1..0..1..2..1....0..3..2..0..1..0....2..1..2..3..2..1....0..3..2..3..2..1

CROSSREFS

Sequence in context: A329444 A230687 A337962 * A228332 A220722 A017784

Adjacent sequences:  A231103 A231104 A231105 * A231107 A231108 A231109

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 03 2013

STATUS

approved

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Last modified October 28 03:58 EDT 2021. Contains 348313 sequences. (Running on oeis4.)