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Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.
5

%I #10 Apr 05 2017 04:44:13

%S 1,2,5,8,13,21,31,44,62,87,117,157,206,269,349,447,566,715,894,1112,

%T 1378,1696,2076,2531,3072,3712,4472,5367,6417,7651,9093,10772,12732,

%U 15004,17639,20691,24211,28265,32934,38293,44435,51470,59507,68677

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

%F Partial sums of A015723.

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

%K nonn

%O 1,2

%A _Clark Kimberling_

%E Corrected by _Vladeta Jovovic_, Dec 03 2004