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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A188501 Number of n X 2 binary arrays without the pattern 0 1 0 diagonally, vertically or horizontally. 10
 4, 16, 49, 144, 441, 1369, 4225, 12996, 40000, 123201, 379456, 1168561, 3598609, 11082241, 34128964, 105103504, 323676081, 996791184, 3069714025, 9453478441, 29112890625, 89655929476, 276104007936, 850288696321, 2618545348864 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 2 of A188508. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n)=3*a(n-1)-a(n-2)+3*a(n-3)+3*a(n-4)-a(n-5)-a(n-6). Empirical g.f.: x*(4 + 4*x + 5*x^2 + x^3 - 2*x^4 - x^5) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Feb 18 2018 EXAMPLE Some solutions for 3 X 2: ..1..1....0..1....1..1....1..1....0..1....1..0....0..1....1..1....1..1....0..1 ..1..0....1..0....1..1....0..0....0..1....1..0....0..0....0..1....0..1....0..0 ..1..0....1..0....1..0....1..0....1..1....0..1....1..1....1..1....1..0....1..0 CROSSREFS Sequence in context: A227266 A114185 A188516 * A283692 A173712 A085697 Adjacent sequences: A188498 A188499 A188500 * A188502 A188503 A188504 KEYWORD nonn AUTHOR R. H. Hardin, Apr 02 2011 STATUS approved

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

Last modified August 11 20:46 EDT 2024. Contains 375073 sequences. (Running on oeis4.)