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A005166
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a(0) = 1; a(n) = (1 + a(0)^3 + ... + a(n-1)^3)/n (not always integral!).
(Formerly M1551)
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5
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OFFSET
| 0,2
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COMMENTS
| 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
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REFERENCES
| R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), number 8, 697-712.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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.
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CROSSREFS
| Cf. A003504, A005167.
Cf. A108394
Sequence in context: A163115 A088309 A056680 * A121621 A119715 A023273
Adjacent sequences: A005163 A005164 A005165 * A005167 A005168 A005169
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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