OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (19, -171, 969, -3876, 11628, -27132, 50388, -75582, 92378, -92378, 75582, -50388, 27132, -11628, 3876, -969, 171, -19, 1).
FORMULA
Totally multiplicative sequence with a(p) = p^18 for prime p. Multiplicative sequence with a(p^e) = p^(18e). - Jaroslav Krizek, Nov 01 2009
From Ilya Gutkovskiy, Feb 27 2017: (Start)
Dirichlet g.f.: zeta(s-18).
Sum_{n>=1} 1/a(n) = 43867*Pi^18/38979295480125 = A013676. (End)
Sum_{n>=1} (-1)^(n+1)/a(n) = 131071*zeta(18)/131072 = 5749691557*Pi^18/5109094217170944000. - Amiram Eldar, Oct 09 2020
MATHEMATICA
Range[0, 17]^18 (* Alonso del Arte, Feb 17 2015 *)
PROG
(Magma) [n^18: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) for(n=0, 15, print1(n^18, ", ")) \\ Derek Orr, Feb 27 2017
CROSSREFS
KEYWORD
nonn,mult,easy
AUTHOR
STATUS
approved