The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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