The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A186750 a(0) = 3; thereafter, a(n) = a(n-1)^2 - 3. 3
 3, 6, 33, 1086, 1179393, 1390967848446, 1934791555410494424614913, 3743418362887760317407541271559358491868341997566 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is to A001566 as 3 is to 2 (subtrahend). Unlike A001566, which begins with 4 consecutive primes, this sequence can never be prime after a(0) = 3, because the first two terms are both multiples of 3, hence all later terms are. This is the k = 3 row of the array A(k, 0) = 3, A(k, n) = A(k, n-1)^2 - k; and A001566 is the k = 2 row. A003096(n+1) is the k = 1 row. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..11 FORMULA a(n) ~ c^(2^n), where c = 2.3959550115176494685408322564302422183669584045032057908382914927198090627... - Vaclav Kotesovec, Dec 18 2014 MATHEMATICA RecurrenceTable[{a == 3, a[n] == a[n-1]^2 - 3}, a, {n, 0, 10}] (* Vaclav Kotesovec, Dec 18 2014 *) Drop[Abs[NestList[#^2 - 3 &, 0, 9]], 1] (* Alonso del Arte, Apr 08 2016 *) CROSSREFS Cf. A001566, A003096. Sequence in context: A101142 A298679 A261885 * A203715 A249875 A308557 Adjacent sequences:  A186747 A186748 A186749 * A186751 A186752 A186753 KEYWORD nonn,easy AUTHOR Jonathan Vos Post, Feb 26 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 2 00:22 EDT 2022. Contains 357175 sequences. (Running on oeis4.)