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A007698
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a(n)=22a(n-1)-3a(n-2)+18a(n-3)-11a(n-4). Deviates from A007699 at 1403-th term.
(Formerly M4746)
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2
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10, 219, 4796, 105030, 2300104, 50371117, 1103102046, 24157378203, 529034393290, 11585586272312, 253718493496142, 5556306986017175, 121680319386464850, 2664737596978110299, 58356408797678883616
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
R. H. Hudson, Prime k-th power non-residues, Acta Arithmetica, 23 (1973), 89-106.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. Wroblewski, personal communication.
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FORMULA
| O.g.f.: = -x*(x-2)*(5*x^2+2*x+5)/(1-22*x+3*x^2-18*x^3+11*x^4) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 23 2007
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MATHEMATICA
| LinearRecurrence[{22, -3, 18, -11}, {10, 219, 4796, 105030}, 20] (* From Harvey P. Dale, Nov 09 2011 *)
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CROSSREFS
| Sequence in context: A057408 A002967 * A007699 A024291 A024292 A094420
Adjacent sequences: A007695 A007696 A007697 * A007699 A007700 A007701
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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