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A117119 Number of partitions of 2*n into two odd prime powers. +0
1
1, 1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 6, 6, 6, 7, 8, 6, 9, 7, 6, 8, 7, 6, 8, 7, 7, 9, 8, 7, 9, 8, 7, 11, 9, 7, 12, 8, 7, 9, 9, 8, 10, 8, 9, 12, 11, 9, 12, 9, 8, 13, 9, 8, 13, 10, 11, 14, 11, 8, 13, 12, 10, 13, 9, 9, 16, 10, 11, 14, 10, 10, 15, 10, 9, 16, 12, 9, 16, 12, 11, 18 (list; graph; listen)
OFFSET

1,3

COMMENT

conjecture: a(n) > 0; a(n) > A002375(n).

LINKS

Index entries for sequences related to Goldbach conjecture

Eric Weisstein's World of Mathematics, Goldbach Conjecture

EXAMPLE

a(1) = #{1+1} = 1; a(2) = #{1+3} = 1; a(3) = #{1+5, 3+3} = 2;

a(20) = #{3+37, 3^2+31, 11+29, 13+3^3, 17+23} = 5;

a(21) = #{1+41, 5+37, 11+31, 13+29, 17+5^2, 19+23} = 6.

CROSSREFS

Sequence in context: A157790 A070241 A066412 this_sequence A139141 A122953 A128998

Adjacent sequences: A117116 A117117 A117118 this_sequence A117120 A117121 A117122

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 15 2006

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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