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A089267 Continued fraction expansion with iterated 3-fold symmetry. +0
2
0, 1, 1, 23, 1, 2, 1, 18815, 3, 1, 23, 3, 1, 23, 1, 2, 1, 106597754640383, 3, 1, 23, 1, 3, 23, 1, 3, 18815, 1, 2, 1, 23, 3, 1, 23, 1, 2, 1, 18815, 3, 1, 23, 3, 1, 23, 1, 2, 1, 1715738475058821295603924428015888899408203312889855, 3, 1 (list; graph; listen)
OFFSET

1,4

LINKS

H. Cohn, Symmetry and specializability in continued fractions

FORMULA

sum(k=0, inf, 1/chebyshev(4^k, 2)) = 0.51030927976262776140...

PROGRAM

(PARI) contfrac(suminf(k=0, 1/subst(poltchebi(4^k), x, 2)))

CROSSREFS

Cf. A007400.

Sequence in context: A015151 A040539 A040540 this_sequence A040538 A040537 A040542

Adjacent sequences: A089264 A089265 A089266 this_sequence A089268 A089269 A089270

KEYWORD

nonn,cofr,nice

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 30 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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