A069259 Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.

1, 1, 2, 4, 5, 8, 12, 16, 22, 31, 41, 53, 70, 90, 113, 147, 184, 226, 286, 352, 429, 530, 644, 776, 943, 1135, 1352, 1623, 1934, 2283, 2716, 3207, 3759, 4431, 5191, 6050, 7074, 8236, 9543, 11079, 12829, 14786, 17066, 19659, 22547, 25895, 29683, 33897

Offset: 0

Author

Vladeta Jovovic, Mar 10 2002

Keywords

• easy
• nonn

Comments

a(n) is the number of ways to express 2*n as a sum of parts x such that x+2 is an odd prime. - David Wasserman, Apr 03 2003

Crossrefs

Cf. A069258.

Formula

G.f.: (A(sqrt(x))+A(-sqrt(x)))/2, where A(x) = 1/Product_{k>1} (1-x^(prime(k)-2)). - Vladeta Jovovic, Nov 12 2004

Extensions

More terms from David Wasserman, Apr 03 2003