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 A269606 T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one or less. 11
 2, 3, 4, 4, 9, 6, 5, 16, 24, 8, 6, 25, 60, 62, 10, 7, 36, 120, 222, 154, 12, 8, 49, 210, 572, 804, 376, 14, 9, 64, 336, 1220, 2692, 2878, 902, 16, 10, 81, 504, 2298, 7030, 12570, 10192, 2142, 18, 11, 100, 720, 3962, 15630, 40288, 58280, 35812, 5040, 20, 12, 121 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2.....3......4.......5........6.........7.........8..........9.........10 ..4.....9.....16......25.......36........49........64.........81........100 ..6....24.....60.....120......210.......336.......504........720........990 ..8....62....222.....572.....1220......2298......3962.......6392.......9792 .10...154....804....2692.....7030.....15630.....31024......56584......96642 .12...376...2878...12570....40288....105892....242226.....499798.....952180 .14...902..10192...58280...229754....714874...1886252....4405772....9366790 .16..2142..35812..268704..1304934...4811578..14654952...38768412...92013754 .18..5040.125012.1233046..7385898..32300252.113629480..340600002..902743646 .20.11786.434110.5636046.41679780.216337084.879470154.2988094770.8846649136 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) k=2: a(n) = 5*a(n-1) -5*a(n-2) -8*a(n-3) +12*a(n-4) k=3: a(n) = 7*a(n-1) -9*a(n-2) -23*a(n-3) +31*a(n-4) +33*a(n-5) k=4: [order 7] k=5: [order 7] k=6: [order 9] k=7: [order 9] Empirical for row n: n=1: a(n) = n + 1 n=2: a(n) = n^2 + 2*n + 1 n=3: a(n) = n^3 + 3*n^2 + 2*n n=4: a(n) = n^4 + 4*n^3 + 4*n^2 - n n=5: a(n) = n^5 + 5*n^4 + 7*n^3 - 4*n^2 + n n=6: a(n) = n^6 + 6*n^5 + 11*n^4 - 8*n^3 + n^2 + 3*n - 2 n=7: a(n) = n^7 + 7*n^6 + 16*n^5 - 12*n^4 - 5*n^3 + 18*n^2 - 15*n + 4 EXAMPLE Some solutions for n=6 k=4 ..1. .0. .3. .0. .3. .2. .1. .1. .0. .3. .2. .3. .2. .1. .1. .2 ..3. .2. .2. .2. .0. .4. .2. .2. .3. .4. .0. .0. .0. .4. .1. .2 ..0. .0. .3. .4. .3. .2. .3. .3. .1. .4. .4. .3. .3. .3. .2. .3 ..4. .1. .0. .3. .1. .0. .3. .1. .0. .3. .1. .1. .3. .0. .1. .1 ..3. .3. .2. .4. .3. .4. .0. .0. .1. .4. .2. .3. .2. .3. .2. .0 ..1. .3. .1. .3. .0. .4. .1. .3. .1. .0. .3. .3. .0. .3. .0. .0 CROSSREFS Column 1 is A004275(n+1). Column 3 is A269532. Row 1 is A000027(n+1). Row 2 is A000290(n+1). Row 3 is A007531(n+2). Sequence in context: A097093 A056877 A267232 * A269640 A269409 A268944 Adjacent sequences:  A269603 A269604 A269605 * A269607 A269608 A269609 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 01 2016 STATUS approved

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Last modified April 17 11:08 EDT 2021. Contains 343064 sequences. (Running on oeis4.)