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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. 2
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 (list; graph; refs; listen; history; text; internal format)
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

Adjacent sequences:  A069256 A069257 A069258 * A069260 A069261 A069262

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Mar 10 2002

EXTENSIONS

More terms from David Wasserman, Apr 03 2003

STATUS

approved

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)