|
| |
|
|
A010803
|
|
15th powers: a(n) = n^15.
|
|
8
|
|
|
|
0, 1, 32768, 14348907, 1073741824, 30517578125, 470184984576, 4747561509943, 35184372088832, 205891132094649, 1000000000000000, 4177248169415651, 15407021574586368, 51185893014090757, 155568095557812224
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
COMMENTS
|
Totally multiplicative sequence with a(p) = p^15 for prime p. Multiplicative sequence with a(p^e) = p^(15e). - Jaroslav Krizek, Nov 01 2009
|
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (16, -120, 560, -1820, 4368, -8008, 11440, -12870, 11440, -8008, 4368, -1820, 560, -120, 16, -1).
|
|
|
FORMULA
|
Dirichlet g.f.: zeta(s-15).
Sum_{n>=1} 1/a(n) = zeta(15) = A013673. (End)
Sum_{n>=1} (-1)^(n+1)/a(n) = 16383*zeta(15)/16384. - Amiram Eldar, Oct 08 2020
|
|
|
MATHEMATICA
|
|
|
|
PROG
|
(PARI) for(n=0, 15, print1(n^15, ", ")) \\ Derek Orr, Feb 27 2017
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,mult,easy
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
