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A010804 16th powers: a(n) = n^16. 4
0, 1, 65536, 43046721, 4294967296, 152587890625, 2821109907456, 33232930569601, 281474976710656, 1853020188851841, 10000000000000000, 45949729863572161, 184884258895036416, 665416609183179841, 2177953337809371136, 6568408355712890625, 18446744073709551616, 48661191875666868481 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Completely multiplicative sequence with a(p) = p^16 for prime p. Multiplicative sequence with a(p^e) = p^(16e). - Jaroslav Krizek, Nov 01 2009

LINKS

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).

FORMULA

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

MATHEMATICA

Range[0, 15]^16 (* Alonso del Arte, Feb 16 2015 *)

PROG

(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

CROSSREFS

Cf. A013674, A001016 (n^8).

Sequence in context: A016904 A017696 A211199 * A276108 A030635 A236224

Adjacent sequences:  A010801 A010802 A010803 * A010805 A010806 A010807

KEYWORD

nonn,mult,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 17 00:25 EST 2020. Contains 331976 sequences. (Running on oeis4.)