A069259 - OEIS

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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

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OFFSET

0,3

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

LINKS

Table of n, a(n) for n=0..47.

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

CROSSREFS

Cf. A069258.

Sequence in context: A260386 A092268 A335702 * A102186 A039842 A188216