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A205347 Number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order. 2
15, 110, 1024, 9894, 96288, 937926, 9140400, 89074638, 868054608, 8459432046, 82439625888, 803396884086, 7829331882624, 76299033606678, 743555689924752, 7246159411293342, 70615870748013744, 688171560086811582 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A205352.

LINKS

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

FORMULA

Empirical: a(n) = 69*a(n-2) + 248*a(n-3) + 225*a(n-4) - 1296*a(n-5) - 4293*a(n-6) + 1656*a(n-7) + 9072*a(n-8) for n>9.

Empirical g.f.: x*(15 + 110*x - 11*x^2 - 1416*x^3 - 5023*x^4 - 4022*x^5 + 19371*x^6 + 26664*x^7 - 3024*x^8) / ((1 - 3*x^2)*(1 - 66*x^2 - 248*x^3 - 423*x^4 + 552*x^5 + 3024*x^6)). - Colin Barker, Mar 03 2018

EXAMPLE

Some solutions for n=4:

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

  0 1   0 0   0 0   1 0   2 2   0 1   0 0   1 0   0 1   0 0

  2 0   1 1   0 1   0 0   1 1   0 2   0 1   0 1   0 2   0 1

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

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

CROSSREFS

Cf. A205352.

Sequence in context: A055504 A060931 A107585 * A054367 A199225 A290752

Adjacent sequences:  A205344 A205345 A205346 * A205348 A205349 A205350

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 26 2012

STATUS

approved

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Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)