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A205433 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order. 2
15, 77, 443, 2705, 16955, 108173, 698747, 4558985, 29999531, 198898277, 1327629707, 8915678561, 60198810395, 408431259197, 2782950648923, 19033693298105, 130606895874635, 898770109853333, 6200177355415787 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A205440.

LINKS

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

FORMULA

Empirical: a(n) = 21*a(n-1) - 156*a(n-2) + 442*a(n-3) - 81*a(n-4) - 1359*a(n-5) + 1134*a(n-6).

Empirical g.f.: x*(15 - 238*x + 1166*x^2 - 1216*x^3 - 3561*x^4 + 4914*x^5) / ((1 - x)*(1 - 3*x)*(1 - 6*x)*(1 - 7*x)*(1 - 4*x - 9*x^2)). - Colin Barker, Mar 03 2018

EXAMPLE

Some solutions for n=4:

  0 0   0 1   0 1   0 1   0 1   0 1   0 1   0 1   0 1   0 1

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

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

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

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

CROSSREFS

Cf. A205440.

Sequence in context: A051423 A205609 A257925 * A303097 A128272 A180579

Adjacent sequences:  A205430 A205431 A205432 * A205434 A205435 A205436

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2012

STATUS

approved

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Last modified January 20 13:55 EST 2022. Contains 350472 sequences. (Running on oeis4.)