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A007698 a(n)=22a(n-1)-3a(n-2)+18a(n-3)-11a(n-4). Deviates from A007699 at 1403-th term.
(Formerly M4746)
+0
3
10, 219, 4796, 105030, 2300104, 50371117, 1103102046, 24157378203, 529034393290, 11585586272312, 253718493496142, 5556306986017175, 121680319386464850, 2664737596978110299, 58356408797678883616 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

J. Wroblewski, personal communication.

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

CROSSREFS

Sequence in context: A112364 A057408 A002967 this_sequence A007699 A024291 A024292

Adjacent sequences: A007695 A007696 A007697 this_sequence A007699 A007700 A007701

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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