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A268165 Number of n X 2 0..3 arrays with every repeated value in every row and column one larger mod 4 than the previous repeated value, and upper left element zero. 1
4, 64, 900, 12100, 155236, 1932100, 23444964, 278956804, 3265665316, 37722185284, 430853083236, 4874266035076, 54692207394724, 609340042214596, 6746970728882916, 74302629109627396, 814375880067172900 (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) = 23*a(n-1) - 106*a(n-2) - 724*a(n-3) + 4128*a(n-4) + 9216*a(n-5) - 20736*a(n-6).

Empirical g.f.: 4*x*(1 - 7*x - 37*x^2 + 270*x^3 + 540*x^4 - 1296*x^5) / ((1 + 4*x)*(1 - 9*x)*(1 - 12*x + 16*x^2)*(1 - 6*x - 36*x^2)). - Colin Barker, Jan 11 2019

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

CROSSREFS

Column 2 of A268169.

Sequence in context: A264575 A053957 A145244 * A026301 A010042 A154021

Adjacent sequences:  A268162 A268163 A268164 * A268166 A268167 A268168

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2016

STATUS

approved

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Last modified September 19 07:24 EDT 2020. Contains 337178 sequences. (Running on oeis4.)