A186131 Positions of the odd partitions of (2k) in reverse lexicographic order converge to this limiting sequence.

2, 5, 7, 13, 16, 19, 31, 34, 38, 41, 45, 68, 71, 76, 79, 86, 88, 92, 97, 140, 143, 148, 151, 159, 162, 164, 168, 181, 184, 189, 195, 273, 276, 281, 284, 293, 296, 298, 302, 317, 319, 326, 329, 334, 353, 356, 360, 366, 373, 509, 512, 517, 520, 529, 532, 534, 538, 554, 557, 559, 566, 569, 574, 601

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Example

The odd partitions of (2*4) occur at positions 2, 5, 7, 14, 17 and 22. For (2*5) they occur at 2, 5, 7, 13, ... so for k=5 only the first three terms have stabilized, giving a(1) = 2, a(2) = 5, and a(3) = 7.

Mathematica

<<DiscreteMath`Combinatorica`;
it=Table[Flatten[Position[Partitions[n], q_List/;  FreeQ[q, _?EvenQ], 1]], {n, 36, 36+2, 2}]; {{diffat}}=Position[Take[Last[it], Length[First[it] ] ] - First[it] , a_ /; (a!=0), 1, 1]; Take[First[it], diffat -1 ]

Crossrefs

Cf. A186130, A035399.

First differences give A186204.

Sequence in context: A266001 A062879 A272193 * A284191 A065897 A293762

Adjacent sequences: A186128 A186129 A186130 * A186132 A186133 A186134

Keyword

nonn

Author

Wouter Meeussen, Feb 13 2011

Status

approved