A268515 - OEIS

A268515

Records in A002945 (continued fraction expansion of cube root of 2).

1, 3, 5, 8, 14, 15, 534, 7451, 12737, 22466, 68346, 148017, 217441, 320408, 533679, 4156269, 4886972, 10253793, 13761184, 14358891, 35950987, 68665026, 455880544, 10065016098

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OFFSET

1,2

COMMENTS

a(1)-a(18) computed by John M. Campbell, Oct 23 2010 (cf. A181495).

It is not known if this sequence is infinite (i.e., whether the continued fraction expansion is bounded). [Davenport]

REFERENCES

H. Davenport, The Higher Arithmetic: An Introduction to the Theory of Numbers, Cambridge, 2008.

LINKS

Table of n, a(n) for n=1..24.

CROSSREFS

Cf. A002945, A181495 (positions of records).

Sequence in context: A177231 A259597 A095223 * A374084 A070948 A352087

Adjacent sequences: A268512 A268513 A268514 * A268516 A268517 A268518

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Feb 07 2016, following a suggestion from Doron Zeilberger

EXTENSIONS

a(19)-a(21) from Zak Seidov, Feb 08 2016

a(22)-a(24) from Hans Havermann, Feb 08 2016

Name corrected by Nathan Fox, Feb 08 2016

STATUS

approved