A331849 - OEIS

%I #4 Jan 29 2020 14:51:20

%S 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,

%T 71,80,92,102,117,131,148,166,186,208,233,259,290,322,357,398,439,488,

%U 539,595,657,723,796,877,962,1057,1159,1268,1391,1520,1663,1815,1981

%N Number of partitions of n into prime parts with some part repeated.

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

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

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

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

%K nonn

%O 0,7

%A _Ilya Gutkovskiy_, Jan 29 2020