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!)
 A202444 Number of (n+2) X 7 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. 1
 484, 836, 1722, 3122, 5512, 8996, 14338, 21674, 32120, 45844, 64378, 87922, 118488, 156308, 203938, 261642, 332584, 417060, 518906, 638450, 780264, 944708, 1137154, 1357994, 1613464, 1903988, 2236730, 2612146, 3038392, 3515956, 4054050, 4653194 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 5 of A202447. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 3*a(n-1) -8*a(n-3) +6*a(n-4) +6*a(n-5) -8*a(n-6) +3*a(n-8) -a(n-9) for n>10. Empirical g.f.: 2*x*(242 - 308*x - 393*x^2 + 914*x^3 - 35*x^4 - 842*x^5 + 425*x^6 + 190*x^7 - 207*x^8 + 46*x^9) / ((1 - x)^6*(1 + x)^3). - Colin Barker, May 31 2018 EXAMPLE Some solutions for n=4: ..1..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1 ..0..1..1..1..1..1..1....0..0..0..0..0..0..0....1..0..1..0..1..0..0 ..1..1..1..1..1..1..1....0..1..0..1..1..1..1....1..1..1..1..1..1..1 ..0..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1 ..1..1..1..1..1..1..1....0..1..0..1..0..1..0....1..1..1..1..1..1..1 ..1..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1 CROSSREFS Cf. A202447. Sequence in context: A251625 A156646 A177434 * A329872 A199330 A281398 Adjacent sequences:  A202441 A202442 A202443 * A202445 A202446 A202447 KEYWORD nonn AUTHOR R. H. Hardin, Dec 19 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 13:48 EST 2021. Contains 349444 sequences. (Running on oeis4.)