A087187 Number of ways to write n = i*p + j*q, where (p,q) is a twin prime pair and i,j>0.

0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 3, 1, 3, 2, 2, 3, 1, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 4, 4, 3, 5, 5, 5, 4, 5, 4, 5, 6, 5, 5, 5, 6, 5, 7, 5, 7, 6, 6, 6, 5, 6, 6, 8, 6, 7, 7, 8, 7, 9, 6, 8, 7, 7, 8, 7, 8, 8, 9, 8, 8, 8, 10, 8, 12, 8, 10, 10, 9, 10, 8, 10, 9, 10, 9

Offset

1,17

Comments

a(A054735(n)) > 0.

Links

Table of n, a(n) for n=1..99.

Eric Weisstein's World of Mathematics, Prime Partition

Example

n=50 = 5+5+5+5+5+5+5+3+3+3+3+3 = 5+5+5+5+3+3+3+3+3+3+3+3+3+3 =
5+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3 = 7+7+7+7+7+5+5+5 = 13+13+13+11, therefore
a(50)=5

Crossrefs

Cf. A000607, A001359, A006512.

Sequence in context: A298674 A211354 A211352 * A029380 A298485 A332997

Adjacent sequences: A087184 A087185 A087186 * A087188 A087189 A087190

Keyword

nonn

Author

Reinhard Zumkeller, Aug 23 2003

Status

approved