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A186131 Positions of the odd partitions of (2k) in reverse lexicographic order converge to this limiting sequence. 4
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 (list; graph; refs; listen; history; text; internal format)
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 A161889

Adjacent sequences:  A186128 A186129 A186130 * A186132 A186133 A186134

KEYWORD

nonn

AUTHOR

Wouter Meeussen, Feb 13 2011

STATUS

approved

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Last modified September 26 15:27 EDT 2017. Contains 292531 sequences.