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

1,1

Links

Table of n, a(n) for n=1..30.

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

Cf. A024938, A084993, A085410, A182723.

Sequence in context: A148585 A148586 A148587 * A148588 A148589 A148590

Adjacent sequences: A186406 A186407 A186408 * A186410 A186411 A186412

Keyword

nonn

Author

Omar E. Pol, Aug 11 2011

Status

approved