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 A144745 Recurrence sequence a(n)=a(n-1)^2-a(n-1)-1, a(0)=9. 5
 9, 71, 4969, 24685991, 609398126966089, 371366077149776919833628989831, 137912763257614063309949706968500684963726537144819872418729 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The original version of this sequence had a(0)=5=A144743(1) and therefore was essentially the same as that sequence A144743. The next term a(8) has 119 digits. LINKS FORMULA a(n) = a(n-1)^2-a(n-1)-1 and a(0)=9. a(n) ~ c^(2^n), where c = 8.395688554881795978328174160925857176207363473280394010762212170489... . - Vaclav Kotesovec, May 06 2015 MATHEMATICA k = 9; a = {k}; Do[k = k^2 - k - 1; AppendTo[a, k], {n, 1, 10}]; a NestList[#^2 - # - 1 &, 9, 7]  (* Harvey P. Dale, Feb 04 2011 *) PROG (PARI) a(n, s=9)=for(i=1, n, s=s^2-s-1); s \\ M. F. Hasler, Oct 06 2014 CROSSREFS Cf. A000058, A082732, A144743, A144744, A144746, A144747, A144748. Sequence in context: A287819 A001706 A251284 * A158193 A123987 A003365 Adjacent sequences:  A144742 A144743 A144744 * A144746 A144747 A144748 KEYWORD nonn AUTHOR Artur Jasinski, Sep 20 2008 EXTENSIONS New initial value a(0)=9 from M. F. Hasler, Oct 20 2014 STATUS approved

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Last modified February 21 23:29 EST 2019. Contains 320381 sequences. (Running on oeis4.)