cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A010807 19th powers: a(n) = n^19.

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%I A010807 #34 Jul 08 2025 01:46:07
%S A010807 0,1,524288,1162261467,274877906944,19073486328125,609359740010496,
%T A010807 11398895185373143,144115188075855872,1350851717672992089,
%U A010807 10000000000000000000,61159090448414546291,319479999370622926848,1461920290375446110677,5976303958948914397184
%N A010807 19th powers: a(n) = n^19.
%H A010807 Vincenzo Librandi, <a href="/A010807/b010807.txt">Table of n, a(n) for n = 0..1000</a>
%H A010807 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).
%F A010807 a(n) is a totally multiplicative sequence (and is therefore multiplicative as well). - _Jaroslav Krizek_, Nov 01 2009
%F A010807 From _Ilya Gutkovskiy_, Feb 27 2017: (Start)
%F A010807 Dirichlet g.f.: zeta(s-19).
%F A010807 Sum_{n>=1} 1/a(n) = zeta(19) = A013677. (End)
%F A010807 Sum_{n>=1} (-1)^(n+1)/a(n) = 262143*zeta(19)/262144. - _Amiram Eldar_, Oct 09 2020
%p A010807 A010807:=n->n^19: seq(A010807(n), n=0..20); # _Wesley Ivan Hurt_, Jul 13 2014
%t A010807 Range[0, 20]^19 (* _Wesley Ivan Hurt_, Jul 13 2014 *)
%o A010807 (Magma) [n^19: n in [0..15]]; // _Vincenzo Librandi_, Jun 19 2011
%o A010807 (Haskell)
%o A010807 a010807 = (^ 19)  -- _Reinhard Zumkeller_, Sep 29 2014
%Y A010807 Cf. A013677, A247894 ([sqrt(a(n))]).
%K A010807 nonn,mult,easy
%O A010807 0,3
%A A010807 _N. J. A. Sloane_