Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted.

A079024

Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted.

Terms

    a(0) =1a(1) =2a(2) =3a(3) =5a(4) =5a(5) =12a(6) =9a(7) =17a(8) =30a(9) =29a(10) =32a(11) =79a(12) =64a(13) =70a(14) =236a(15) =116a(16) =48a(17) =342a(18) =375a(19) =359a(20) =633a(21) =310a(22) =852a(23) =846a(24) =644a(25) =354a(26) =1048a(27) =1191a(28) =635a(29) =1664

External references