A347609 Number of partitions of n into at most 5 prime parts.

1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 8, 8, 9, 10, 11, 11, 14, 14, 15, 17, 18, 19, 21, 22, 23, 25, 27, 27, 32, 29, 34, 33, 37, 37, 42, 39, 47, 44, 51, 47, 58, 50, 61, 57, 67, 61, 73, 65, 80, 71, 86, 75, 95, 79, 101, 86, 107, 92, 115, 95, 125, 103, 132, 108

Offset

0,6

Links

Table of n, a(n) for n=0..66.

Formula

a(n) = Sum_{k=1..5} A117278(n,k) for n >= 2. - Alois P. Heinz, Sep 08 2021

Crossrefs

Cf. A000040, A000607, A071335, A117278, A259195, A347552, A347578, A347610.

Sequence in context: A086861 A113865 A358636 * A143738 A337766 A029071

Adjacent sequences: A347606 A347607 A347608 * A347610 A347611 A347612

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 08 2021

Status

approved