A008599 Multiples of 17.
0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884
Offset: 0
Links
- Ivan Panchenko, Table of n, a(n) for n = 0..200
- Tanya Khovanova, Recursive Sequences.
- Michael Penn, Divisibility by 17: The Lesser Known Rule, YouTube video, 2023.
- INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 329.
- Index entries for linear recurrences with constant coefficients, signature (2,-1).
Programs
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Mathematica
Range[0, 1003, 17] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
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PARI
a(n)=17*n \\ Charles R Greathouse IV, Oct 07 2015
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Scala
for (n <- 0 to 1003 by 17) print(n + ", ") // Alonso del Arte, Jun 17 2018
Formula
(floor(a(n)/10) - 5*(a(n) mod 10)) == 0 (mod 17), see A076311. - Reinhard Zumkeller, Oct 06 2002
From Vincenzo Librandi, Dec 24 2010: (Start)
a(n) = 17*n.
a(n) = 2*a(n-1) - a(n-2).
G.f.: 17*x/(x-1)^2. (End)
From Elmo R. Oliveira, Apr 10 2025: (Start)
E.g.f.: 17*x*exp(x).