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A084204
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G.f. A(x) defined by: A(x)^4 consists entirely of integer coefficients between 1 and 4 (A083954); A(x) is the unique power series solution with A(0)=1.
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2
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1, 1, -1, 3, -7, 20, -58, 177, -554, 1769, -5739, 18866, -62684, 210146, -709882, 2413743, -8253995, 28366316, -97916761, 339326189, -1180068800, 4116957243, -14404398636, 50530280752, -177684095927, 626181400993, -2211215950469, 7823025701314, -27724997048327
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Limit a(n)/a(n+1) -> r = -0.269562488839799 where A(r)=0.
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LINKS
| 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
| Cf. A083954, A084202, A084203, A084205-A084212.
Sequence in context: A000227 A058737 A129429 * A030238 A132364 A110490
Adjacent sequences: A084201 A084202 A084203 * A084205 A084206 A084207
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KEYWORD
| sign
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), May 20 2003
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