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A007698 a(n) = 22*a(n-1) - 3*a(n-2) + 18*a(n-3) - 11*a(n-4). Deviates from A007699 at the 1403rd term.
(Formerly M4746)
3
10, 219, 4796, 105030, 2300104, 50371117, 1103102046, 24157378203, 529034393290, 11585586272312, 253718493496142, 5556306986017175, 121680319386464850, 2664737596978110299, 58356408797678883616 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. Wroblewski, personal communication.
LINKS
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
Jonny Griffiths and Martin Griffiths, Fibonacci-related sequences via iterated QRT maps, Fib. Q., 51 (2013), 218-227.
R. H. Hudson, Prime k-th power non-residues, Acta Arithmetica, 23 (1973), 89-106.
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, Nov 23 2007
MATHEMATICA
LinearRecurrence[{22, -3, 18, -11}, {10, 219, 4796, 105030}, 20] (* Harvey P. Dale, Nov 09 2011 *)
CROSSREFS
Similar to but different from A007699.
Sequence in context: A294850 A259189 A326208 * A007699 A024291 A024292
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified May 21 00:09 EDT 2024. Contains 372720 sequences. (Running on oeis4.)