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 A010807 19th powers: a(n) = n^19. 6
 0, 1, 524288, 1162261467, 274877906944, 19073486328125, 609359740010496, 11398895185373143, 144115188075855872, 1350851717672992089, 10000000000000000000, 61159090448414546291, 319479999370622926848, 1461920290375446110677, 5976303958948914397184 (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 (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1). FORMULA a(n) is a totally multiplicative sequence (and is therefore multiplicative as well). - Jaroslav Krizek, Nov 01 2009 From Ilya Gutkovskiy, Feb 27 2017: (Start) Dirichlet g.f.: zeta(s-19). Sum_{n>=1} 1/a(n) = zeta(19) = A013677. (End) Sum_{n>=1} (-1)^(n+1)/a(n) = 262143*zeta(19)/262144. - Amiram Eldar, Oct 09 2020 MAPLE A010807:=n->n^19: seq(A010807(n), n=0..20); # Wesley Ivan Hurt, Jul 13 2014 MATHEMATICA Range[0, 20]^19 (* Wesley Ivan Hurt, Jul 13 2014 *) PROG (Magma) [n^19: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011 (Haskell) a010807 = (^ 19) -- Reinhard Zumkeller, Sep 29 2014 CROSSREFS Cf. A013677, A247894 ([sqrt(a(n)]). Sequence in context: A222530 A069280 A017702 * A236227 A320345 A017701 Adjacent sequences: A010804 A010805 A010806 * A010808 A010809 A010810 KEYWORD nonn,mult,easy AUTHOR STATUS approved

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Last modified December 6 09:33 EST 2022. Contains 358608 sequences. (Running on oeis4.)