The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180363 L(prime(n)), where L(i) is a Lucas number (A000032). 8
 3, 4, 11, 29, 199, 521, 3571, 9349, 64079, 1149851, 3010349, 54018521, 370248451, 969323029, 6643838879, 119218851371, 2139295485799, 5600748293801, 100501350283429, 688846502588399, 1803423556807921, 32361122672259149, 221806434537978679 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is to A030426, Fibonacci(prime(n)), as A000032 (Lucas numbers beginning at 2) is to A000045. LINKS A. Aksenov, The Newman phenomenon and Lucas sequence, arXiv:1108.5352 [math.NT], 2011. [Gives factorizations of first 88 terms] Paula Burkhardt et al., Visual properties of generalized Kloosterman sums, arXiv:1505.00018 [math.NT], 2015. FORMULA a(n) = A000032(A000040(n)) = Lucas(prime(n)). EXAMPLE a(1) = 3 because the 1st prime is 2, and the 2nd Lucas number is A000032(2) = 3. a(2) = 4 because the 2nd prime is 3, and the 3rd Lucas number is A000032(3) = 4. a(3) = 11 because the 3rd prime is 5, and the 5th Lucas number is A000032(5) = 11. MAPLE A180363 := proc(n) A000032(ithprime(n)) ; end proc: seq(A180363(n), n=1..30) ; # R. J. Mathar, Sep 01 2010 MATHEMATICA LucasL[Prime[Range]] (* Vincenzo Librandi, Dec 01 2015 *) PROG (MAGMA) [Lucas(NthPrime(n)): n in [1..30]]; // Vincenzo Librandi, Dec 01 2015 CROSSREFS Cf. A000032, A000040, A000045, A030426. Sequence in context: A042129 A141723 A268478 * A100845 A019169 A049979 Adjacent sequences:  A180360 A180361 A180362 * A180364 A180365 A180366 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Aug 31 2010 EXTENSIONS Entries checked by R. J. Mathar, Sep 01 2010 Edited by N. J. A. Sloane, Nov 28 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)