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Revision History for A059537
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LINKS
Aviezri S. Fraenkel, Jonathan Levitt, and Michael Shimshoni, <a href="http://dx.doi.org/10.1016/0012-365X(72)90012-X">Characterization of the set of values f(n)=[n alpha], n=1,2,...</a>, Discrete Math. 2 (1972), no.4, 335-345.
MATHEMATICA
Floor[Range[100]*Zeta[3]] (* Paolo Xausa, Jul 07 2024 *)
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reviewed
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REFERENCES
Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), no.4,335-345.
LINKS
Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, <a href="http://dx.doi.org/10.1016/0012-365X(72)90012-X">Characterization of the set of values f(n)=[n alpha], n=1,2,...</a>, Discrete Math. 2 (1972), no.4, 335-345.
FORMULA
a(n) = A047226(n+1), 1<=n<99. [From __R. J. Mathar_, Oct 05 2008]
a(n) = floor(n*zeta(3)). - Michel Marcus, Jan 04 2015
PROG
(PARI) { default(realprecision, 100); b=zeta(3); for (n = 1, 2000, write("b059537.txt", n, " ", floor(n*b)); ) } [From _\\ _Harry J. Smith_, Jun 27 2009]
CROSSREFS
Cf. A002117 (zeta(3)).
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approved
editing