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!)
 A188101 Number of (n+3) X 8 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. 1
 8274, 1482, 3013, 5037, 7661, 8509, 8873, 9265, 9825, 10805, 13085, 16429, 22789, 30417, 41390, 53819, 69824, 88077, 111955, 140633, 179247, 227737, 292825, 375142, 483400, 619787, 796650, 1019420, 1306745, 1670689, 2140197, 2737929, 3508474 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 5 of A188105. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 2*a(n-1) - a(n-2) + a(n-4) - 2*a(n-5) + a(n-6) + a(n-8) - a(n-9) for n>15. Empirical g.f.: x*(8274 - 15066*x + 8323*x^2 + 493*x^3 - 7674*x^4 + 13290*x^5 - 8807*x^6 - 465*x^7 - 8706*x^8 + 8988*x^9 + 253*x^10 - 988*x^11 + 224*x^12 + 1681*x^14) / ((1 - x)*(1 - x - x^4 + x^5 - x^8)). - Colin Barker, Feb 15 2018 EXAMPLE Some solutions for 5 X 8: ..0..0..0..0..0..1..0..0....1..1..0..0..1..1..0..0....0..0..0..0..0..0..1..0 ..0..0..0..0..0..0..0..0....0..1..1..0..0..1..1..0....0..0..0..0..0..0..0..1 ..0..0..0..0..0..0..0..0....0..0..1..1..0..0..1..1....1..0..0..0..0..0..0..0 ..1..0..0..0..0..0..0..0....1..0..0..1..1..0..0..1....1..0..0..0..0..0..0..0 ..0..0..0..0..0..0..0..0....1..1..0..0..1..1..0..0....0..1..0..0..0..0..0..0 CROSSREFS Sequence in context: A345851 A166194 A269959 * A157731 A252581 A271748 Adjacent sequences:  A188098 A188099 A188100 * A188102 A188103 A188104 KEYWORD nonn AUTHOR R. H. Hardin, Mar 20 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 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)