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A010807
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19th powers: a(n) = n^19.
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6
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0, 1, 524288, 1162261467, 274877906944, 19073486328125, 609359740010496, 11398895185373143, 144115188075855872, 1350851717672992089, 10000000000000000000, 61159090448414546291, 319479999370622926848, 1461920290375446110677, 5976303958948914397184
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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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).
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FORMULA
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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
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MAPLE
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A010807:=n->n^19: seq(A010807(n), n=0..20); # Wesley Ivan Hurt, Jul 13 2014
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MATHEMATICA
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Range[0, 20]^19 (* Wesley Ivan Hurt, Jul 13 2014 *)
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PROG
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(Magma) [n^19: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(Haskell)
a010807 = (^ 19) -- Reinhard Zumkeller, Sep 29 2014
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CROSSREFS
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Cf. A013677, A247894 ([sqrt(a(n)]).
Sequence in context: A222530 A069280 A017702 * A236227 A320345 A017701
Adjacent sequences: A010804 A010805 A010806 * A010808 A010809 A010810
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KEYWORD
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nonn,mult,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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