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A228816
Sum of all parts of all partitions of n that contain 1 as a part.
1
1, 2, 6, 12, 25, 42, 77, 120, 198, 300, 462, 672, 1001, 1414, 2025, 2816, 3927, 5346, 7315, 9800, 13167, 17424, 23046, 30120, 39375, 50908, 65772, 84280, 107822, 136950, 173724, 218944, 275517, 344862, 430850, 535788, 665149, 822206, 1014585, 1247400
OFFSET
1,2
FORMULA
a(n) = n*A000041(n-1).
a(n) = A066186(n-1) + A000041(n-1), n >= 2.
a(n) = A194552(n-1) + A000070(n-1), n >= 2.
MATHEMATICA
Table[Total[Flatten[Select[IntegerPartitions[n], MemberQ[#, 1]&]]], {n, 40}] (* Harvey P. Dale, Sep 27 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Sep 23 2013
STATUS
approved