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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)