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.

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

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

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

Adjacent sequences: A186200 A186201 A186202 * A186204 A186205 A186206

Keyword

nonn,look

Author

Alois P. Heinz, Feb 14 2011

Status

approved