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A210304 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order 1
414, 27957, 1575467, 85724987, 4628067519, 249417760123, 13436313660615, 723757498910275, 38984944780383519, 2099900397267926699, 113109737477748574263, 6092579222040877989907, 328172625066633894785487 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A210309

LINKS

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

FORMULA

Empirical: a(n) = 81*a(n-1) -1553*a(n-2) +2061*a(n-3) +172685*a(n-4) -899169*a(n-5) -6513363*a(n-6) +44110455*a(n-7) +105719944*a(n-8) -862490004*a(n-9) -709417008*a(n-10) +7693929440*a(n-11) +1058374912*a(n-12) -32657532864*a(n-13) +6969586944*a(n-14) +63976482560*a(n-15) -23949775872*a(n-16) -51839258624*a(n-17) +18903613440*a(n-18) +14501412864*a(n-19) -3227516928*a(n-20)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A253450 A236149 A231312 * A332141 A187864 A190028

Adjacent sequences:  A210301 A210302 A210303 * A210305 A210306 A210307

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2012

STATUS

approved

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Last modified April 8 21:44 EDT 2020. Contains 333329 sequences. (Running on oeis4.)