A186130 Positions of the odd partitions of (2k+1) in reverse lexicographic order converge to this limiting sequence.

1, 4, 9, 12, 21, 24, 26, 30, 47, 50, 52, 59, 62, 67, 99, 102, 104, 110, 113, 116, 126, 129, 133, 139, 197, 200, 202, 208, 211, 214, 227, 231, 234, 238, 254, 256, 260, 265, 272, 375, 378, 380, 386, 389, 392, 404, 407, 411, 414, 418, 440, 443, 450, 452, 456, 461, 486, 489, 494, 500, 508, 686, 689, 691

Offset: 1

Author

Wouter Meeussen, Feb 13 2011

Keywords

• nonn

Examples

			The odd partitions of (2*4+1) occur at positions 1, 4, 9, 12, 19, 21, 25, and 30. For (2*5+1) they occur at 1, 4, 9, 12, 20, ..., so for k=5 only four terms have stabilized, giving a(1) = 1, a(2) = 4, a(3) = 9, and a(4) = 12.
		

Links

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

Crossrefs

Cf. A186131, A035399.

First differences give A186203.

Programs

Mathematica

<?EvenQ],1]],{n,39,39+2,2}];{{diffat}}=Position[Take[Last[it],Length[First[it] ] ] - First[it] , a /;(a!=0),1,1]; Take[First[it],diffat -1 ]