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Search: id:A087183
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| A087183 |
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Partition numbers of the form 3*k. |
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+0
6
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| 3, 15, 30, 42, 135, 231, 297, 627, 792, 1002, 1575, 2436, 5604, 8349, 10143, 14883, 31185, 37338, 44583, 63261, 105558, 147273, 239943, 281589, 329931, 614154, 1121505, 1505499, 3087735, 4087968, 4697205, 8118264, 15796476, 44108109
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The numbers n such that 3 divides A000041(n) are given in A083214. Klarreich writes: no one has proved whether there are infinitely many partition numbers divisible by 3, although it's known that there are infinitely many partition numbers divisible by 2. - Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 31 2008
Intersection of A008585 and A000041; A079978(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 03 2009]
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REFERENCES
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Erica Klarreich, Pieces of numbers: a proof brings closure to a dramatic tale of partitions and primes, Science News, June 18, 2005.
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LINKS
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Eric Weisstein's World of Mathematics, Partition Function
Eric Weisstein's World of Mathematics, Parti tion Function P Congruences
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CROSSREFS
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Cf. A000041, A087180, A087184, A087185, A068907, A052001, A052003.
Cf. A000041, A083214.
Sequence in context: A053519 A039666 A020493 this_sequence A106354 A018972 A031039
Adjacent sequences: A087180 A087181 A087182 this_sequence A087184 A087185 A087186
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KEYWORD
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nonn,new
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 23 2003
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