The OEIS is supported by the many generous donors to the OEIS 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A207302 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. 1
 13, 169, 665, 1759, 3773, 7093, 12169, 19515, 29709, 43393, 61273, 84119, 112765, 148109, 191113, 242803, 304269, 376665, 461209, 559183, 671933, 800869, 947465, 1113259, 1299853, 1508913, 1742169, 2001415, 2288509, 2605373, 2953993, 3336419 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 5 of A207305. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (8/3)*n^4 + (49/3)*n^3 + (16/3)*n^2 - (43/3)*n + 3. Conjectures from Colin Barker, Jun 21 2018: (Start) G.f.: x*(13 + 104*x - 50*x^2 - 6*x^3 + 3*x^4) / (1 - x)^5. a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5. (End) EXAMPLE Some solutions for n=4: ..1..1..1..1..0....1..0..0..1..1....1..1..0..0..1....1..0..0..1..0 ..0..1..0..0..1....0..1..0..0..1....0..1..0..0..1....0..0..1..0..0 ..0..1..0..0..1....0..1..0..0..1....0..1..0..0..1....1..0..0..1..0 ..0..1..0..0..1....0..1..0..0..1....0..1..0..0..1....1..0..0..1..0 CROSSREFS Cf. A207305. Sequence in context: A207166 A207365 A208010 * A207915 A207108 A207464 Adjacent sequences: A207299 A207300 A207301 * A207303 A207304 A207305 KEYWORD nonn AUTHOR R. H. Hardin, Feb 16 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 30 06:18 EST 2022. Contains 358431 sequences. (Running on oeis4.)