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A129363
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Number of partitions of 2n into the sum of two twin primes.
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8
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0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 1, 2, 2, 3, 4, 2, 1, 2, 1, 2, 3, 3, 2, 2, 1, 2, 4, 3, 3, 4, 2, 2, 3, 2, 2, 4, 2, 0, 0, 0, 2, 4, 3, 2, 2, 2, 4, 6, 3, 3, 5, 3, 1, 2, 1, 2, 4, 2, 1, 2, 2, 4, 5, 3, 2, 4, 3, 3, 4, 2, 2, 4, 2, 3, 6, 3, 1, 2, 1, 3, 6, 4, 2, 2, 1, 2, 4, 3, 4, 6, 4, 4, 5, 3, 6, 12
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| a(n/2)=0 for the n in A007534. The logarithmic plot of this sequence seems very regular after 200000 terms
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..10000
T. D. Noe, Logarithmic plot of 10^6 terms
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EXAMPLE
| a(11)=3 because 22 = 3+19 = 5+17 = 11+11.
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MATHEMATICA
| nn=1000; tw=Select[Prime[Range[PrimePi[nn]]], PrimeQ[ #+2]&]; tw=Union[tw, tw+2]; tc=Table[0, {nn}]; tc[[tw]]=1; Table[cnt=0; k=1; While[tw[[k]]<=n/2, cnt=cnt+tc[[n-tw[[k]]]]; k++ ]; cnt, {n, 2, nn, 2}]
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CROSSREFS
| Cf. A175931 (n for which a(n-1), a(n), a(n+1) are equal). [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 23 2010]
Sequence in context: A185278 A086376 A160089 * A053597 A094570 A002375
Adjacent sequences: A129360 A129361 A129362 * A129364 A129365 A129366
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Apr 11 2007
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EXTENSIONS
| Comment converted to crossref by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 27 2010
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