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A164067 Number of partitions of n into distinct Sophie Germain primes. 2
0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 3, 0, 2, 2, 0, 3, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 3, 1, 4, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 4, 2, 3, 3, 2, 2, 3, 1, 2, 3, 1, 3, 3, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 5, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..1000

FORMULA

G.f.: Product_{k>=1} (1 + x^A005384(k)). - Andrew Howroyd, Dec 28 2017

EXAMPLE

e(16) = #{11+5, 11+3+2} = 2.

PROG

(PARI)

ok(n)={isprime(n) && isprime(2*n+1)}

{my(n=80); Vec(prod(k=1, n, 1 + if(ok(k), x^k + O(x*x^n), 0))-1, -n)} \\ Andrew Howroyd, Dec 28 2017

CROSSREFS

Cf. A164066, A000586, A000009, A005384.

Sequence in context: A065339 A122434 A141571 * A353918 A305490 A113706

Adjacent sequences: A164064 A164065 A164066 * A164068 A164069 A164070

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 09 2009

STATUS

approved

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Last modified December 4 16:41 EST 2022. Contains 358563 sequences. (Running on oeis4.)