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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

%I M4746 #46 Jul 19 2021 02:51:19

%S 10,219,4796,105030,2300104,50371117,1103102046,24157378203,

%T 529034393290,11585586272312,253718493496142,5556306986017175,

%U 121680319386464850,2664737596978110299,58356408797678883616

%N 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.

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

%D J. Wroblewski, personal communication.

%H Vincenzo Librandi, <a href="/A007698/b007698.txt">Table of n, a(n) for n = 1..200</a>

%H D. W. Boyd, <a href="https://www.researchgate.net/profile/David_Boyd7/publication/262181133_Linear_recurrence_relations_for_some_generalized_Pisot_sequences_-_annotated_with_corrections_and_additions/links/00b7d536d49781037f000000.pdf">Linear recurrence relations for some generalized Pisot sequences</a>, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993

%H Jonny Griffiths and Martin Griffiths, <a href="https://www.fq.math.ca/Papers1/51-3/GriffithsGriffiths.pdf">Fibonacci-related sequences via iterated QRT maps</a>, Fib. Q., 51 (2013), 218-227.

%H R. H. Hudson, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa23/aa2315.pdf">Prime k-th power non-residues</a>, Acta Arithmetica, 23 (1973), 89-106.

%H J. Wroblewski, <a href="/A007698/a007698.pdf">Email to N. J. A. Sloane, Jun. 1994</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (22,-3,18,-11).

%H <a href="/index/Se#sequences_which_agree_for_a_long_time">Index entries for sequences which agree for a long time but are different</a>

%F 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

%t LinearRecurrence[{22,-3,18,-11},{10,219,4796,105030},20] (* _Harvey P. Dale_, Nov 09 2011 *)

%Y Similar to but different from A007699.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_ and _J. H. Conway_

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)