A186204 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.

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, 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, 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

Offset

1,1

Links

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

Example

For a large even number k the first partitions in reverse lexicographic
order are [k], [k-1,1], [k-2,2], [k-2,1,1], [k-3,3] ..., where only the
partitions in positions 2, 5, ... consist of odd parts alone, thus
a(1) = 5-2 = 3.

Crossrefs

Cf. A186131.

Sequence in context: A248945 A131969 A058971 * A137324 A011209 A182649

Adjacent sequences: A186201 A186202 A186203 * A186205 A186206 A186207

Keyword

nonn,look

Author

Alois P. Heinz, Feb 14 2011

Status

approved