OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).
FORMULA
Totally multiplicative with a(p) = p^14 for prime p. Multiplicative with a(p^e) = p^(14e). - Jaroslav Krizek, Nov 01 2009
From Ilya Gutkovskiy, Feb 27 2017: (Start)
Dirichlet g.f.: zeta(s-14).
Sum_{n>=1} 1/a(n) = 2*Pi^14/18243225 = A013672. (End)
a(n) = A001015(n)^2. - Michel Marcus, Feb 28 2018
Sum_{n>=1} (-1)^(n+1)/a(n) = 8191*zeta(14)/8192 = 8191*Pi^14/74724249600. - Amiram Eldar, Oct 08 2020
MATHEMATICA
Range[0, 20]^14 (* Harvey P. Dale, Nov 08 2011 *)
PROG
(Magma) [n^14: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) for(n=0, 15, print1(n^14, ", ")) \\ Derek Orr, Feb 27 2017
(PARI) A010802(n)=n^14 \\ M. F. Hasler, Jul 03 2025
(Python) A010802 = lambda n: n**14 # M. F. Hasler, Jul 03 2025
CROSSREFS
KEYWORD
nonn,mult,easy
AUTHOR
STATUS
approved