A347610 Number of partitions of n into at most 6 prime parts.

1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 9, 11, 12, 14, 15, 17, 18, 20, 23, 24, 27, 28, 32, 33, 37, 38, 43, 44, 48, 51, 55, 55, 63, 62, 70, 71, 77, 78, 89, 87, 97, 96, 108, 105, 121, 114, 133, 127, 144, 139, 161, 149, 174, 165, 189, 177, 208, 188, 226, 206

Offset: 0

Author

Ilya Gutkovskiy, Sep 08 2021

Keywords

• nonn

Crossrefs

Cf. A000040, A000607, A071335, A117278, A259196, A347552, A347578, A347609.

Formula

a(n) = Sum_{k=1..6} A117278(n,k) for n >= 2. - Alois P. Heinz, Sep 08 2021