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 A189326 T(n,k)=Number of nondecreasing arrangements of n+2 numbers in 0..k with the last equal to k and each after the second equal to the sum of one or two of the preceding four 15
 2, 4, 2, 5, 6, 2, 7, 7, 8, 2, 8, 12, 11, 10, 2, 10, 12, 20, 16, 12, 2, 11, 18, 21, 32, 22, 14, 2, 13, 17, 36, 33, 49, 28, 16, 2, 14, 24, 31, 64, 54, 70, 34, 18, 2, 16, 22, 49, 51, 110, 84, 94, 40, 20, 2, 17, 30, 42, 95, 91, 179, 119, 120, 46, 22, 2, 19, 27, 63, 76, 179, 157, 275, 157 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .2..4..5...7...8..10..11...13...14...16...17...19...20...22...23....25...26 .2..6..7..12..12..18..17...24...22...30...27...36...32...42...37....48...42 .2..8.11..20..21..36..31...49...42...63...51...79...60...93...72...105...80 .2.10.16..32..33..64..51...95...76..122...91..166..102..185..141...214..137 .2.12.22..49..54.110..91..179..154..238..190..360..215..376..333...453..290 .2.14.28..70..84.179.157..321..283..461..390..720..482..784..747...988..684 .2.16.34..94.119.275.253..548..477..845..725.1375..951.1608.1522..2126.1511 .2.18.40.120.157.393.374..866..775.1426.1261.2448.1761.3006.2890..4232.3063 .2.20.46.148.195.528.509.1267.1161.2230.2033.4069.3000.5252.5080..7749.5692 .2.22.52.178.233.676.649.1733.1606.3234.3005.6291.4691.8502.8350.13138.9724 LINKS R. H. Hardin, Table of n, a(n) for n = 1..3692 FORMULA Empirical: T(n,1) = 2 Empirical: T(n,2) = 2*n + 2 Empirical: T(n,3) = 6*n - 8 for n>3 Empirical: T(n,4) = n^2 + 11*n - 32 for n>5 Empirical: T(n,5) = 38*n - 147 for n>6 Empirical: T(n,6) = 6*n^2 + 34*n - 264 for n>8 Empirical: T(n,7) = 140*n - 751 for n>8 Empirical: T(n,8) = (1/3)*n^3 + 10*n^2 + (587/3)*n - 1558 for n>10 EXAMPLE Some solutions for n=5 k=3 ..1....0....1....0....1....1....0....1....0....0....3....0....1....1....1....1 ..2....1....1....1....2....1....1....3....1....1....3....1....1....1....1....2 ..2....1....1....1....2....1....1....3....1....1....3....1....2....2....1....3 ..3....1....1....1....2....1....2....3....2....2....3....1....2....2....2....3 ..3....2....1....1....3....2....2....3....2....3....3....2....3....2....3....3 ..3....2....2....2....3....3....2....3....3....3....3....3....3....3....3....3 ..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3 CROSSREFS Row 1 is A001651(n+1) Sequence in context: A229920 A201562 A190041 * A106688 A167977 A267005 Adjacent sequences:  A189323 A189324 A189325 * A189327 A189328 A189329 KEYWORD nonn,tabl AUTHOR R. H. Hardin Apr 20 2011 STATUS approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)