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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A268956 T(n,k)=Number of length-n 0..k arrays with no repeated value equal to the previous repeated value, with new values introduced in sequential order. 10
 1, 1, 2, 1, 2, 3, 1, 2, 4, 5, 1, 2, 4, 11, 7, 1, 2, 4, 12, 29, 11, 1, 2, 4, 12, 39, 77, 15, 1, 2, 4, 12, 40, 138, 201, 23, 1, 2, 4, 12, 40, 153, 499, 525, 31, 1, 2, 4, 12, 40, 154, 634, 1830, 1361, 47, 1, 2, 4, 12, 40, 154, 655, 2785, 6723, 3525, 63, 1, 2, 4, 12, 40, 154, 656, 3045 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ..1....1.....1.....1.....1.....1.....1.....1.....1.....1.....1.....1.....1 ..2....2.....2.....2.....2.....2.....2.....2.....2.....2.....2.....2.....2 ..3....4.....4.....4.....4.....4.....4.....4.....4.....4.....4.....4.....4 ..5...11....12....12....12....12....12....12....12....12....12....12....12 ..7...29....39....40....40....40....40....40....40....40....40....40....40 .11...77...138...153...154...154...154...154...154...154...154...154...154 .15..201...499...634...655...656...656...656...656...656...656...656...656 .23..525..1830..2785..3045..3073..3074..3074..3074..3074..3074..3074..3074 .31.1361..6723.12634.15124.15579.15615.15616.15616.15616.15616.15616.15616 .47.3525.24714.58409.78930.84572.85314.85359.85360.85360.85360.85360.85360 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) +2*a(n-2) -2*a(n-3) k=2: a(n) = 3*a(n-1) +2*a(n-2) -8*a(n-3) for n>5 k=3: a(n) = 6*a(n-1) -3*a(n-2) -30*a(n-3) +28*a(n-4) +36*a(n-5) -36*a(n-6) for n>8 k=4: [order 9] for n>11 k=5: [order 12] for n>14 k=6: [order 15] for n>17 k=7: [order 18] for n>20 EXAMPLE Some solutions for n=8 k=4 ..0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0 ..1. .1. .1. .0. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1 ..2. .2. .2. .1. .2. .2. .0. .1. .1. .2. .2. .2. .2. .0. .2. .2 ..2. .3. .2. .0. .3. .3. .2. .2. .2. .1. .2. .3. .1. .1. .0. .1 ..1. .4. .3. .2. .4. .2. .1. .3. .3. .3. .3. .1. .0. .2. .0. .3 ..1. .3. .4. .1. .4. .2. .3. .0. .3. .3. .3. .4. .2. .1. .3. .4 ..2. .2. .0. .2. .3. .4. .0. .1. .1. .1. .2. .0. .0. .2. .1. .2 ..0. .0. .0. .3. .1. .1. .3. .2. .4. .3. .1. .0. .0. .1. .0. .2 CROSSREFS Column 1 is A052955(n-1). Column 2 is A267912. Column 3 is A268069. Diagonal is A268010. Sequence in context: A214314 A209435 A263744 * A208515 A286880 A178030 Adjacent sequences: A268953 A268954 A268955 * A268957 A268958 A268959 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 16 2016 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 February 25 13:12 EST 2024. Contains 370330 sequences. (Running on oeis4.)