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!)
 A190041 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 three 14
 2, 4, 2, 5, 6, 2, 7, 7, 8, 2, 8, 12, 10, 10, 2, 10, 12, 18, 14, 12, 2, 11, 18, 16, 27, 18, 14, 2, 13, 17, 30, 23, 39, 22, 16, 2, 14, 24, 22, 47, 33, 53, 26, 18, 2, 16, 22, 40, 31, 72, 45, 69, 30, 20, 2, 17, 30, 31, 65, 43, 107, 57, 87, 34, 22, 2, 19, 27, 49, 49, 105, 60, 151, 69, 107 (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...28..29 .2..6..7..12.12..18..17..24..22..30..27...36..32...42...37...48..42...54..47 .2..8.10..18.16..30..22..40..31..49..36...64..41...71...53...81..55...97..61 .2.10.14..27.23..47..31..65..49..76..52..113..58..109...92..132..78..167..87 .2.12.18..39.33..72..43.105..69.123..72..190..83..169..151..217.108..276.120 .2.14.22..53.45.107..60.164.100.189..99..311.121..251..241..358.146..447.167 .2.16.26..69.57.151..80.246.144.284.138..492.178..372..364..583.195..717.239 .2.18.30..87.69.203.100.349.200.409.189..754.258..545..540..927.267.1109.341 .2.20.34.107.81.263.120.472.264.560.245.1108.352..775..778.1424.364.1677.484 .2.22.38.129.93.331.140.617.336.735.301.1561.448.1053.1072.2094.474.2449.657 LINKS R. H. Hardin, Table of n, a(n) for n = 1..4434 FORMULA Empirical: T(n,1) = 2 Empirical: T(n,2) = 2*n + 2 Empirical: T(n,3) = 4*n - 2 for n>2 Empirical: T(n,4) = n^2 + 3*n - 1 for n>3 Empirical: T(n,5) = 12*n - 27 for n>4 Empirical: T(n,6) = 4*n^2 - 8*n + 11 for n>5 Empirical: T(n,7) = 20*n - 60 for n>5 Empirical: T(n,8) = (1/3)*n^3 + 2*n^2 + (50/3)*n - 83 for n>6 EXAMPLE Some solutions for n=5 k=3 ..2....3....1....1....0....1....0....0....0....0....1....1....1....1....1....1 ..3....3....1....1....1....2....1....1....1....3....1....3....1....1....1....2 ..3....3....2....1....1....3....1....1....1....3....1....3....1....1....2....2 ..3....3....3....1....1....3....2....1....2....3....1....3....1....2....2....3 ..3....3....3....2....1....3....3....2....2....3....1....3....2....3....3....3 ..3....3....3....3....2....3....3....3....3....3....2....3....2....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) Row 2 is A189327 Sequence in context: A291303 A229920 A201562 * A189326 A106688 A167977 Adjacent sequences:  A190038 A190039 A190040 * A190042 A190043 A190044 KEYWORD nonn,tabl AUTHOR R. H. Hardin May 04 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)