A168470 Number of partitions of prime(n) into prime parts smaller than itself.

0, 0, 1, 2, 5, 8, 16, 22, 39, 86, 110, 218, 335, 412, 613, 1082, 1849, 2197, 3629, 5006, 5860, 9281, 12487, 19231, 33438, 43708, 49870, 64670, 73505, 94624, 221264, 279515, 394169, 441249, 766261, 853691, 1175343, 1608013, 1975107, 2675924, 3605665, 3977860

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 26 2009

Keywords

• nonn

Comments

The difference between this sequence and A056768 is that the number itself (unpartitioned) is not counted.

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A056768.

Formula

a(n) = A056768(n) - 1. - R. J. Mathar, Nov 27 2009

Extensions

a(7) corrected and sequence extended by R. J. Mathar, Nov 27 2009