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Search: id:A111329
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| A111329 |
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Number of partitions of T where T = (3n + 1) if n is even and T=(3n + 1)/2 if n is odd. |
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4
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| 2, 15, 7, 101, 22, 490, 56, 1958, 135, 6842, 297, 21637, 627, 63261, 1255, 173525, 2436, 451276, 4565, 1121505, 8349, 2679689, 14883, 6185689, 26015, 13848650, 44583, 30167357, 75175, 64112359, 124754, 133230930, 204226, 271248950, 329931
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Jeffrey C. Lagarias The 3x+1 problem: An annotated bibliography arXiv:math/0309224
Lagarias, J. C. "The Problem and Its Generalizations." Amer. Math. Monthly 92, 3-23, 1985.
Eric Weisstein. "Collatz Problem."
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FORMULA
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a(n) = A000041(A165355(n-1)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 19 2009]
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EXAMPLE
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If n=1 then T = 2 and a(1) = 2.
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MATHEMATICA
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f[n_] := If[EvenQ[n], PartitionsP[3n + 1], PartitionsP[(3n + 1)/2]]; Table[ f[n], {n, 35}] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000546, A070165, A006577.
Sequence in context: A104773 A128759 A066582 this_sequence A059445 A077518 A102101
Adjacent sequences: A111326 A111327 A111328 this_sequence A111330 A111331 A111332
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KEYWORD
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nonn,new
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 04 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 07 2005
Replaced arXiv URL by non-cached version R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 30 2009
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