A015724 Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.

1, 2, 5, 8, 13, 21, 31, 44, 62, 87, 117, 157, 206, 269, 349, 447, 566, 715, 894, 1112, 1378, 1696, 2076, 2531, 3072, 3712, 4472, 5367, 6417, 7651, 9093, 10772, 12732, 15004, 17639, 20691, 24211, 28265, 32934, 38293, 44435, 51470, 59507, 68677

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Formula

Partial sums of A015723.

G.f.: (1/(1 - x)) * Sum_{i>=1} x^i/(1 + x^i) * Product_{j>=1} (1 + x^j). - Ilya Gutkovskiy, Apr 04 2017

Crossrefs

Sequence in context: A169952 A025279 A169954 * A290133 A089897 A076180

Adjacent sequences: A015721 A015722 A015723 * A015725 A015726 A015727

Keyword

nonn

Author

Clark Kimberling

Extensions

Corrected by Vladeta Jovovic, Dec 03 2004

Status

approved