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Search: id:A084205
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| A084205 |
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G.f. A(x) defined by: A(x)^5 consists entirely of integer coefficients between 1 and 5 (A083945); A(x) is the unique power series solution with A(0)=1. |
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4
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| 1, 1, -1, 3, -8, 24, -76, 252, -854, 2950, -10343, 36706, -131570, 475576, -1731357, 6342042, -23356185, 86421603, -321111661, 1197586539, -4481348585, 16819759474, -63302097780, 238835017492, -903165412289, 3422512973645, -12994514592311, 49425252955926
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Limit a(n)/a(n+1) -> r = -0.2512525316047635 where A(r)=0.
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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CROSSREFS
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Cf. A083945, A084202-A084204, A084206-A084212.
Sequence in context: A046919 A046342 A000958 this_sequence A118099 A066350 A088966
Adjacent sequences: A084202 A084203 A084204 this_sequence A084206 A084207 A084208
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 20 2003
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