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A087187 Number of ways to write n = i*p + j*q, where (p,q) is a twin prime pair and i,j>0. +0
1
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 (list; graph; listen)
OFFSET

1,17

COMMENT

a(A054735(n)) > 0.

LINKS

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: A047895 A164822 A110627 this_sequence A029380 A108129 A078349

Adjacent sequences: A087184 A087185 A087186 this_sequence A087188 A087189 A087190

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 23 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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