Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =5a(5) =8a(6) =12a(7) =16a(8) =22a(9) =31a(10) =41a(11) =53a(12) =70a(13) =90a(14) =113a(15) =147a(16) =184a(17) =226a(18) =286a(19) =352a(20) =429a(21) =530a(22) =644a(23) =776a(24) =943a(25) =1135a(26) =1352a(27) =1623a(28) =1934a(29) =2283