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A331849 Number of partitions of n into prime parts with some part repeated. 1
0, 0, 0, 0, 1, 0, 2, 1, 2, 3, 3, 5, 5, 7, 8, 10, 11, 15, 15, 20, 22, 26, 31, 35, 41, 47, 54, 62, 71, 80, 92, 102, 117, 131, 148, 166, 186, 208, 233, 259, 290, 322, 357, 398, 439, 488, 539, 595, 657, 723, 796, 877, 962, 1057, 1159, 1268, 1391, 1520, 1663, 1815, 1981 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..60.

Index entries for sequences related to partitions

FORMULA

a(n) = A000607(n) - A000586(n).

EXAMPLE

a(9) = 3 because we have [5, 2, 2], [3, 3, 3] and [3, 2, 2, 2].

CROSSREFS

Cf. A000586, A000607, A047967, A261982, A331848.

Sequence in context: A143472 A180235 A239493 * A015739 A015746 A109266

Adjacent sequences:  A331846 A331847 A331848 * A331850 A331851 A331852

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jan 29 2020

STATUS

approved

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Last modified April 18 10:56 EDT 2021. Contains 343087 sequences. (Running on oeis4.)