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A089081
26th powers: a(n) = n^26.
7
0, 1, 67108864, 2541865828329, 4503599627370496, 1490116119384765625, 170581728179578208256, 9387480337647754305649, 302231454903657293676544, 6461081889226673298932241, 100000000000000000000000000
OFFSET
0,3
FORMULA
a(n) = n^26.
Completely multiplicative sequence with a(p) = p^26 for prime p. Multiplicative sequence with a(p^e) = p^(26e). - Jaroslav Krizek, Nov 01 2009
From Amiram Eldar, Oct 09 2020: (Start)
Dirichlet g.f.: zeta(s-26).
Sum_{n>=1} 1/a(n) = zeta(26) = 1315862*Pi^26/11094481976030578125.
Sum_{n>=1} (-1)^(n+1)/a(n) = 33554431*zeta(26)/33554432 = 22076500342261*Pi^26/186134520519971831808000000. (End)
MATHEMATICA
Range[0, 9]^26 (* Alonso del Arte, Apr 26 2015 *)
PROG
(Magma) [n^26: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) a(n)=n^26 \\ Charles R Greathouse IV, Jun 28 2015
CROSSREFS
KEYWORD
nonn,mult,easy
AUTHOR
Douglas Winston (douglas.winston(AT)srupc.com), Dec 04 2003
STATUS
approved