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 A010806 18th powers: a(n) = n^18. 6
 0, 1, 262144, 387420489, 68719476736, 3814697265625, 101559956668416, 1628413597910449, 18014398509481984, 150094635296999121, 1000000000000000000, 5559917313492231481, 26623333280885243904 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A013676. Sequence in context: A018879 A016905 A017700 * A030637 A236226 A183818 Adjacent sequences: A010803 A010804 A010805 * A010807 A010808 A010809 KEYWORD nonn,mult,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified August 3 23:57 EDT 2024. Contains 374905 sequences. (Running on oeis4.)