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A186130 Positions of the odd partitions of (2k+1) in reverse lexicographic order converge to this limiting sequence. 4

%I #16 May 17 2015 13:23:51

%S 1,4,9,12,21,24,26,30,47,50,52,59,62,67,99,102,104,110,113,116,126,

%T 129,133,139,197,200,202,208,211,214,227,231,234,238,254,256,260,265,

%U 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

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

%H Alois P. Heinz, <a href="/A186130/b186130.txt">Table of n, a(n) for n = 1..10000</a>

%e 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.

%t <<DiscreteMath`Combinatorica`;

%t it=Table[Flatten[Position[Partitions[n],q_List/; FreeQ[q,_?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 ]

%Y Cf. A186131, A035399.

%Y First differences give A186203.

%K nonn

%O 1,2

%A _Wouter Meeussen_, Feb 13 2011

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