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A002351
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Denominators of convergents to cube root of 2.
(Formerly M2380 N0945)
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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| 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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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MAPLE
| Digits := 60: E := 2^(1/3); convert(evalf(E), confrac, 50, 'cvgts'): cvgts;
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CROSSREFS
| Cf. A002352.
Sequence in context: A122660 A163744 A042595 * A042035 A030980 A041861
Adjacent sequences: A002348 A002349 A002350 * A002352 A002353 A002354
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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