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A268256 Number of length-(n+1) 0..3 arrays with new repeated values introduced in sequential order starting with zero. 1
13, 43, 143, 479, 1616, 5492, 18804, 64869, 225483, 789747, 2787100, 9910252, 35501416, 128109313, 465606659, 1704022367, 6278399432, 23282368196, 86873186508, 326055377709, 1230562324251, 4668500002491, 17797745988388 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) - 60*a(n-2) + 105*a(n-3) - 11*a(n-4) - 94*a(n-5) - 24*a(n-6).

Empirical g.f.: x*(13 - 126*x + 364*x^2 - 165*x^3 - 403*x^4 - 96*x^5) / ((1 - 3*x)*(1 - 4*x)*(1 - 3*x - x^2)*(1 - 3*x - 2*x^2)). - Colin Barker, Jan 11 2019

EXAMPLE

Some solutions for n=8:

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

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

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

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

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

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

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

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

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

CROSSREFS

Column 3 of A268261.

Sequence in context: A067260 A135241 A225774 * A243894 A303740 A243029

Adjacent sequences:  A268253 A268254 A268255 * A268257 A268258 A268259

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2016

STATUS

approved

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Last modified September 24 11:27 EDT 2021. Contains 347642 sequences. (Running on oeis4.)