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%I #30 Sep 08 2022 08:44:37
%S 0,1,16777216,282429536481,281474976710656,59604644775390625,
%T 4738381338321616896,191581231380566414401,4722366482869645213696,
%U 79766443076872509863361,1000000000000000000000000
%N 24th powers: a(n) = n^24.
%H Vincenzo Librandi, <a href="/A010812/b010812.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (25, -300, 2300, -12650, 53130, -177100, 480700, -1081575, 2042975, -3268760, 4457400, -5200300, 5200300, -4457400, 3268760, -2042975, 1081575, -480700, 177100, -53130, 12650, -2300, 300, -25, 1).
%F Totally multiplicative sequence with a(p) = p^24 for prime p. Multiplicative sequence with a(p^e) = p^(24e). - _Jaroslav Krizek_, Nov 01 2009
%F a(n) = A008456(n)^2. - _Michel Marcus_, Feb 27 2018
%F From _Amiram Eldar_, Oct 09 2020: (Start)
%F Dirichlet g.f.: zeta(s-24).
%F Sum_{n>=1} 1/a(n) = zeta(24) = 236364091*Pi^24/201919571963756521875.
%F Sum_{n>=1} (-1)^(n+1)/a(n) = 8388607*zeta(24)/8388608 = 1982765468311237*Pi^24/1693824136731743669452800000. (End)
%t Range[0,10]^24 (* _Harvey P. Dale_, Sep 04 2017 *)
%o (Magma) [n^24: n in [0..15]]; // _Vincenzo Librandi_, Jun 19 2011
%o (PARI) a(n) = n^24; \\ _Michel Marcus_, Feb 27 2018
%Y Cf. A008456 (n^12).
%K nonn,mult,easy
%O 0,3
%A _N. J. A. Sloane_
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