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A186409
Total number of parts in all partitions of prime(n).
0
3, 6, 20, 54, 275, 556, 1965, 3498, 10206, 43453, 68135, 242812, 536104, 785437, 1644136, 4712040, 12760906, 17591088, 44736332, 81493581, 109311863, 257863391, 448980978, 1007135164, 2840344772, 4695605081, 6015397025, 9803584533, 12473509636, 20063812526
OFFSET
1,1
FORMULA
a(n) = A006128(A000040(n)) = A006128(prime(n)).
EXAMPLE
For n = 3 the third prime number is 5; the partitions of 5 are [5], [4, 1], [3, 2], [3, 1, 1], [2, 2, 1], [2, 1, 1, 1], [1, 1, 1, 1, 1]; there are 20 parts, so a(3) = 20.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Aug 11 2011
STATUS
approved