The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A205468 Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order. 2
 14, 48, 175, 677, 2709, 11143, 46709, 198483, 851317, 3674723, 15929949, 69254347, 301652741, 1315582371, 5742416845, 25079258843, 109571246421, 478835560339, 2092898539805, 9148671997707, 39994487184037, 174849254952131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 1 of A205475. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 9*a(n-1) - 21*a(n-2) - 11*a(n-3) + 66*a(n-4) - 6*a(n-5) - 36*a(n-6). Empirical g.f.: x*(14 - 78*x + 37*x^2 + 264*x^3 - 105*x^4 - 180*x^5) / ((1 - x)*(1 - 3*x)*(1 - 2*x - 2*x^2)*(1 - 3*x - 6*x^2)). - Colin Barker, Mar 04 2018 EXAMPLE Some solutions for n=4: ..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0....0..1....0..0 ..0..1....0..1....0..1....1..1....1..0....0..0....1..2....1..2....0..2....1..2 ..0..1....0..0....1..1....2..1....1..1....0..0....1..0....0..2....1..2....0..2 ..1..1....1..0....0..0....1..1....2..2....0..0....2..2....0..1....0..0....0..1 ..1..2....1..0....1..0....1..2....2..1....0..0....0..1....0..2....2..1....2..2 CROSSREFS Cf. A205475. Sequence in context: A205753 A332606 A232826 * A195966 A337421 A345724 Adjacent sequences:  A205465 A205466 A205467 * A205469 A205470 A205471 KEYWORD nonn AUTHOR R. H. Hardin, Jan 27 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 December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)