A186409 Total number of parts in all partitions of prime(n).

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

Author

Omar E. Pol, Aug 11 2011

Keywords

• nonn

Examples

			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

Cf. A024938, A084993, A085410, A182723.

Formula

a(n) = A006128(A000040(n)) = A006128(prime(n)).