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

1,4

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

Formula

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

Crossrefs

Cf. A000040, A056768.

Sequence in context: A065093 A361270 A360671 * A295998 A129299 A171238

Adjacent sequences: A168467 A168468 A168469 * A168471 A168472 A168473

Keyword

nonn

Author

Juri-Stepan Gerasimov, Nov 26 2009

Extensions

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

Status

approved