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Search: id:A002351
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| A002351 |
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Denominators of convergents to cube root of 2.
(Formerly M2380 N0945)
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+0
3
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| 1, 3, 4, 23, 27, 50, 227, 277, 504, 4309, 4813, 71691, 76504, 836731, 1749966, 2586697, 12096754, 147747745, 307592244, 1070524477, 2448641198, 3519165675, 13006138223, 55543718567, 68549856790, 124093575357, 316737007504
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Numbers n whose divisors have a root mean square value that is an integer. - Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), Jun 26 2008
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
E. B. Burger, Diophantine Olympics ..., Amer. Math. Monthly, 107 (Nov. 2000), 822-829.
D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
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MAPLE
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Digits := 60: E := 2^(1/3); convert(evalf(E), confrac, 50, 'cvgts'): cvgts;
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CROSSREFS
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Cf. A002352.
Sequence in context: A122660 A163744 A042595 this_sequence A042035 A030980 A041861
Adjacent sequences: A002348 A002349 A002350 this_sequence A002352 A002353 A002354
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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