OFFSET
0,2
COMMENTS
1/31 = 0.0322580645... = (1/2)^5 + (1/2)^10 + (1/2)^15 + ... - Gary W. Adamson, Mar 14 2009
The y-intercept of a line perpendicular to y=mx,where m is the slope a/b and in this case a=2 and b=1, is a^2 + b^2 or 5, the first value of the list given. The remaining value are multiples of the first number of the list. - Larry J Zimmermann, Aug 21 2010
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Tanya Khovanova, Recursive Sequences
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 317
Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
From R. J. Mathar, May 26 2008: (Start)
O.g.f.: 5x/(1-x)^2.
a(n) = A008706(n), n > 0. (End)
E.g.f.: 5*x*exp(x). - Stefano Spezia, Aug 19 2024
MATHEMATICA
Range[0, 500, 5] (* Vladimir Joseph Stephan Orlovsky, May 26 2011 *)
NestList[#+5&, 0, 60] (* Harvey P. Dale, Dec 18 2023 *)
PROG
(Maxima) makelist(5*n, n, 0, 20); /* Martin Ettl, Dec 17 2012 */
(Magma) [5*n: n in [0..60]]; // Vincenzo Librandi, Jun 10 2013
(PARI) a(n)=5*n \\ Charles R Greathouse IV, Mar 22 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved