A122970 - OEIS

%I #21 Sep 08 2022 08:45:28

%S 0,1,536870912,68630377364883,288230376151711744,

%T 186264514923095703125,36845653286788892983296,

%U 3219905755813179726837607,154742504910672534362390528,4710128697246244834921603689,100000000000000000000000000000,1586309297171491574414436704891

%N 29th powers: a(n) = n^29.

%C The least significant digit of a(n) is the same as the least significant digit of n. - _Alonso del Arte_, Mar 28 2015

%H Amiram Eldar, <a href="/A122970/b122970.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Di#divseq">Index to divisibility sequences</a>

%F Completely multiplicative sequence with a(p) = p^29 for prime p. Multiplicative sequence with a(p^e) = p^(29e). - _Jaroslav Krizek_, Nov 01 2009

%F From _Amiram Eldar_, Oct 09 2020: (Start)

%F Dirichlet g.f.: zeta(s-29).

%F Sum_{n>=1} 1/a(n) = zeta(29).

%F Sum_{n>=1} (-1)^(n+1)/a(n) = 268435455*zeta(29)/268435456. (End)

%t Range[0, 9]^29 (* _Alonso del Arte_, Mar 28 2015 *)

%o (Magma) [n^29: n in [0..10]]; // _Vincenzo Librandi_, Mar 29 2015

%o (PARI) a(n)=n^29 \\ _Charles R Greathouse IV_, Jun 28 2015

%Y Cf. A089081, A122968, A122969.

%K mult,nonn,easy

%O 0,3

%A _Franklin T. Adams-Watters_, Oct 27 2006

%E a(10)-a(11) from _Michel Marcus_, Mar 29 2015