|
Search: id:A005166
|
|
|
| A005166 |
|
a(n+1) = (1 + a(0)^3 + ... + a(n)^3 )/(n+1) (not always integral!).
(Formerly M1551)
|
|
+0
5
|
|
| 1, 2, 5, 45, 22815, 2375152056927, 2233176271342403475345148513527359103
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Guy states that by computing the sequence modulo 89 it is easy to show that a(89) is not integral. - T. D. Noe, Sep 17 2007
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), number 8, 697-712.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=0..9
N. Lygeros & M. Mizony, Study of primality of terms of a_k(n)=(1+(sum from 1 to n-1)(a_k(i)^k))/(n-1)
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
CROSSREFS
|
Cf. A003504, A005167.
Cf. A108394
Sequence in context: A163115 A088309 A056680 this_sequence A121621 A119715 A023273
Adjacent sequences: A005163 A005164 A005165 this_sequence A005167 A005168 A005169
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
