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Search: id:A155216
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| A155216 |
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Number of decompositions of positive even numbers 2n into unordered sums of a prime and a prime or semiprime (Chen's partitions) |
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+0
1
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| 0, 1, 2, 2, 2, 3, 3, 4, 3, 4, 5, 5, 6, 7, 4, 6, 6, 7, 8, 8, 7
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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According to Chen's result, the terms of this sequence are positive, at least for sufficiently large n.
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REFERENCES
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J. R. Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Kexue Tongbao,17(1966),385-386.
J. R. Chen, On the representation of a larger even integer as the sum of a prime and the product of at most two primes, Sci. Sinica, 16(1973),157-176
P. M. Ross, On Chen's theorem that each large even number has the form (p1+p2) or (p1+p2p3), J. London Math. Soc. (2) 10(1975), 500-506.
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LINKS
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V. Shevelev, Binary additive problems: recursions for numbers of representations
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CROSSREFS
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Sequence in context: A107325 A003050 A070868 this_sequence A064144 A077105 A153847
Adjacent sequences: A155213 A155214 A155215 this_sequence A155217 A155218 A155219
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jan 22 2009
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