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A010804
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16th powers: a(n) = n^16.
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4
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0, 1, 65536, 43046721, 4294967296, 152587890625, 2821109907456, 33232930569601, 281474976710656, 1853020188851841, 10000000000000000, 45949729863572161, 184884258895036416, 665416609183179841, 2177953337809371136, 6568408355712890625, 18446744073709551616, 48661191875666868481
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OFFSET
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0,3
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COMMENTS
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Completely multiplicative sequence with a(p) = p^16 for prime p. Multiplicative sequence with a(p^e) = p^(16e). - Jaroslav Krizek, Nov 01 2009
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to divisibility sequences
Index entries for linear recurrences with constant coefficients, signature (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).
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FORMULA
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a(n) = n^16.
From Ilya Gutkovskiy, Feb 27 2017: (Start)
Dirichlet g.f.: zeta(s-16).
Sum_{n>=1} 1/a(n) = 3617*Pi^16/325641566250 = A013674. (End)
a(n) = A001016(n)^2. - Michel Marcus, Feb 28 2018
Sum_{n>=1} (-1)^(n+1)/a(n) = 32767*zeta(16)/32768 = 16931177*Pi^16/1524374691840000. - Amiram Eldar, Oct 08 2020
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MATHEMATICA
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Range[0, 15]^16 (* Alonso del Arte, Feb 16 2015 *)
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PROG
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(MAGMA) [n^16: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(Maxima) A010804(n):=n^16$
makelist(A010804(n), n, 0, 10); /* Martin Ettl, Nov 12 2012 */
(PARI) a(n)=n^16 \\ Charles R Greathouse IV, Jun 28 2015
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CROSSREFS
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Cf. A013674, A001016 (n^8).
Sequence in context: A016904 A017696 A211199 * A276108 A030635 A236224
Adjacent sequences: A010801 A010802 A010803 * A010805 A010806 A010807
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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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