A347609 -id:A347609 - cp's OEIS frontend

A347578 Number of partitions of n into at most 4 prime parts.

1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 10, 9, 11, 11, 13, 11, 15, 12, 16, 15, 16, 15, 18, 16, 20, 17, 23, 18, 24, 20, 26, 22, 26, 23, 31, 23, 33, 26, 35, 26, 39, 27, 41, 32, 41, 31, 46, 31, 48, 34, 51, 34, 54, 36, 58, 40, 58, 42, 64, 41

Offset: 0

Ilya Gutkovskiy, Sep 08 2021

nonn

Cf. A000040, A000607, A071335, A117278, A259194, A347552, A347609, A347610.

a(n) = Sum_{k=1..4} A117278(n,k) for n >= 2. - Alois P. Heinz, Sep 08 2021

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

Original entry on oeis.org

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

Ilya Gutkovskiy, Sep 08 2021

nonn

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

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

A347552 Number of partitions of n into at most 2 prime parts.

Original entry on oeis.org

1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 3, 1, 3, 0, 2, 1, 3, 2, 2, 1, 4, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 1, 4, 1, 5, 1, 4, 0, 3, 1, 5, 1, 3, 0, 4, 1, 6, 2, 3, 1, 5, 0, 6, 1, 2, 1, 5, 1, 6, 2, 5, 1, 5, 0, 7, 1, 4, 1, 5, 1, 8, 1, 5

Offset: 0

Ilya Gutkovskiy, Sep 08 2021

nonn

Cf. A000040, A000607, A061358, A071335, A117278, A347578, A347609, A347610.

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

A347624 Number of partitions of n into at most 5 prime parts (counting 1 as a prime).

Original entry on oeis.org

1, 1, 2, 3, 4, 6, 7, 9, 10, 12, 13, 15, 15, 18, 18, 21, 21, 25, 24, 29, 28, 33, 32, 38, 36, 43, 40, 48, 44, 53, 47, 58, 50, 64, 56, 70, 61, 77, 65, 85, 71, 91, 75, 99, 81, 109, 89, 117, 95, 126, 101, 138, 108, 146, 114, 156, 119, 168, 126, 175, 133, 187, 140, 204

Offset: 0

Ilya Gutkovskiy, Sep 09 2021

nonn

Cf. A008578, A034891, A218007, A341948, A347609, A347622, A347623, A347625.

A358010 Number of partitions of n into at most 5 distinct prime parts.

Original entry on oeis.org

1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 7, 6, 9, 7, 9, 9, 9, 11, 11, 11, 13, 12, 13, 15, 15, 17, 15, 18, 17, 20, 20, 23, 20, 25, 22, 27, 28, 28, 27, 30, 29, 36, 34, 38, 36, 41, 35, 48, 41, 48, 44, 50, 46, 58, 53, 61, 54, 64, 55, 72, 66, 74

Offset: 0

Ilya Gutkovskiy, Oct 24 2022

nonn

Cf. A000040, A000586, A219180, A219199, A223893, A347550, A347587, A347609, A347742, A358009, A358011.

cp's OEIS Frontend

A347578 Number of partitions of n into at most 4 prime parts.

Views

Author

Keywords

Crossrefs

Formula

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

Views

Author

Keywords

Crossrefs

Formula

A347552 Number of partitions of n into at most 2 prime parts.

Views

Author

Keywords

Crossrefs

Formula

A347624 Number of partitions of n into at most 5 prime parts (counting 1 as a prime).

Views

Author

Keywords

Crossrefs

A358010 Number of partitions of n into at most 5 distinct prime parts.

Views

Author

Keywords

Crossrefs