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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A242472 T(n,k)=Number of length n+2 0..k arrays with no three equal elements in a row and new values 0..k introduced in 0..k order 6
 3, 4, 5, 4, 11, 8, 4, 12, 30, 13, 4, 12, 40, 82, 21, 4, 12, 41, 143, 224, 34, 4, 12, 41, 158, 528, 612, 55, 4, 12, 41, 159, 663, 1979, 1672, 89, 4, 12, 41, 159, 684, 2944, 7466, 4568, 144, 4, 12, 41, 159, 685, 3204, 13537, 28246, 12480, 233, 4, 12, 41, 159, 685, 3232 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...3.....4......4.......4.......4.......4.......4.......4.......4.......4 ...5....11.....12......12......12......12......12......12......12......12 ...8....30.....40......41......41......41......41......41......41......41 ..13....82....143.....158.....159.....159.....159.....159.....159.....159 ..21...224....528.....663.....684.....685.....685.....685.....685.....685 ..34...612...1979....2944....3204....3232....3233....3233....3233....3233 ..55..1672...7466...13537...16042...16497...16533...16534...16534...16534 ..89..4568..28246...63551...84412...90075...90817...90862...90863...90863 .144.12480.106992..301968..460174..520248..531812..532958..533013..533014 .233.34096.405481.1444795.2570411.3143900.3295779.3317613.3319308.3319374 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 2*a(n-1) +2*a(n-2) k=3: a(n) = 4*a(n-1) +a(n-2) -6*a(n-3) -3*a(n-4) k=4: a(n) = 7*a(n-1) -7*a(n-2) -20*a(n-3) +10*a(n-4) +24*a(n-5) +8*a(n-6) k=5: [order 8] k=6: [order 10] k=7: [order 12] k=8: [order 14] EXAMPLE Some solutions for n=4 k=4 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....1....1....1....1....1....0....1....1....1....1....1....1....1....1....0 ..0....2....2....1....1....0....1....2....2....2....1....1....2....2....2....1 ..1....2....3....2....2....2....2....0....1....3....2....0....3....3....3....0 ..2....3....3....3....3....3....3....1....3....1....1....0....0....3....4....2 ..3....0....0....2....4....3....3....0....0....2....1....1....4....2....3....0 CROSSREFS Column 1 is A000045(n+3) Column 2 is A021006(n-1) Column 3 is A204678(n+2) Column 4 is A222919(n+2) Sequence in context: A225072 A262906 A243607 * A272895 A319460 A343528 Adjacent sequences:  A242469 A242470 A242471 * A242473 A242474 A242475 KEYWORD nonn,tabl AUTHOR R. H. Hardin, May 15 2014 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 July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)