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 A186131 Positions of the odd partitions of (2k) in reverse lexicographic order converge to this limiting sequence. 4

%I #16 May 17 2015 13:27:17

%S 2,5,7,13,16,19,31,34,38,41,45,68,71,76,79,86,88,92,97,140,143,148,

%T 151,159,162,164,168,181,184,189,195,273,276,281,284,293,296,298,302,

%U 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

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

%H Alois P. Heinz, <a href="/A186131/b186131.txt">Table of n, a(n) for n = 1..10000</a>

%e 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.

%t <<DiscreteMath`Combinatorica`;

%t 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 ]

%Y Cf. A186130, A035399.

%Y First differences give A186204.

%K nonn

%O 1,1

%A _Wouter Meeussen_, Feb 13 2011

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Last modified September 17 19:20 EDT 2024. Contains 375990 sequences. (Running on oeis4.)