A186204 - OEIS

%I #8 May 17 2015 13:27:04

%S 3,2,6,3,3,12,3,4,3,4,23,3,5,3,7,2,4,5,43,3,5,3,8,3,2,4,13,3,5,6,78,3,

%T 5,3,9,3,2,4,15,2,7,3,5,19,3,4,6,7,136,3,5,3,9,3,2,4,16,3,2,7,3,5,27,

%U 3,3,10,3,4,6,28,2,4,5,7,8,232,3,5,3,9,3,2,4,17,3,2,7,3,5,30,2,6,3,3,10,3,4,6,46,4

%N Limit of the position distance between the n-th odd partition of even numbers and its successor in the list of all integer partitions sorted in reverse lexicographic order; also first differences of A186131.

%H Alois P. Heinz, <a href="/A186204/b186204.txt">Table of n, a(n) for n = 1..10000</a>

%e For a large even number k the first partitions in reverse lexicographic

%e order are [k], [k-1,1], [k-2,2], [k-2,1,1], [k-3,3] ..., where only the

%e partitions in positions 2, 5, ... consist of odd parts alone, thus

%e a(1) = 5-2 = 3.

%Y Cf. A186131.

%K nonn,look

%O 1,1

%A _Alois P. Heinz_, Feb 14 2011