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Search: id:A111045
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| A111045 |
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Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. |
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+0
14
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| 1, 9, 33, 42, 47, 53, 54, 110, 324, 534, 627, 642, 683, 728, 792, 1114, 2112, 2228, 2323, 2770, 3007, 3255, 3368, 3760, 4062, 4569, 6139, 7650, 7939, 8138, 8310, 8493, 8674, 9122, 9407, 10345, 11127, 13343, 14713, 15442, 15632, 16358, 16904, 18165, 19303
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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If n=110 then P(4*n) = 74878248419470886233 (prime).
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MATHEMATICA
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Select[ Range[19923], PrimeQ[ PartitionsP[4# ]] &] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.
Sequence in context: A061913 A130444 A145849 this_sequence A020226 A111351 A065064
Adjacent sequences: A111042 A111043 A111044 this_sequence A111046 A111047 A111048
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 11 2005
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EXTENSIONS
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a(9)-a(37) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 14 2005
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