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A186203
Limit of the position distance between the n-th odd partition of odd numbers and its successor in the list of all integer partitions sorted in reverse lexicographic order; also first differences of A186130.
2
3, 5, 3, 9, 3, 2, 4, 17, 3, 2, 7, 3, 5, 32, 3, 2, 6, 3, 3, 10, 3, 4, 6, 58, 3, 2, 6, 3, 3, 13, 4, 3, 4, 16, 2, 4, 5, 7, 103, 3, 2, 6, 3, 3, 12, 3, 4, 3, 4, 22, 3, 7, 2, 4, 5, 25, 3, 5, 6, 8, 178, 3, 2, 6, 3, 3, 12, 3, 4, 3, 4, 24, 5, 3, 7, 2, 4, 5, 36, 3, 2, 4, 13, 3, 5, 6, 35, 3, 4, 6, 7, 9, 299, 3, 2, 6, 3, 3, 12, 3
OFFSET
1,1
LINKS
EXAMPLE
For a large odd number k the first partitions in reverse lexicographic order are [k], [k-1,1], [k-2,2], [k-2,1,1], ..., where only the partitions in positions 1, 4, ... consist of odd parts alone, thus a(1) = 4-1 = 3.
CROSSREFS
Cf. A186130.
Sequence in context: A198827 A199668 A318377 * A002633 A070554 A076842
KEYWORD
nonn,look
AUTHOR
Alois P. Heinz, Feb 14 2011
STATUS
approved