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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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 26 2012
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)