A006465 Continued fraction for 4^5*Sum_{n>=0} 1/4^(2^n). (Formerly M5437)

324, 63, 1, 1023, 64, 1023, 1, 63, 1023, 1, 63, 1023, 1, 62, 1, 1023, 63, 1, 1023, 64, 1023, 1, 63, 1023, 1, 62, 1, 1023, 64, 1023, 1, 63, 1023, 1, 62, 1, 1023, 63, 1, 1023, 63, 1, 1023, 64, 1023, 1

Offset

0,1

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

J. Shallit, Letter to N. J. A. Sloane with attachment, Aug. 1979

Jeffrey Shallit, Simple continued fractions for some irrational numbers. J. Number Theory 11 (1979), no. 2, 209-217 [DOI]

Example

324.015625238418579157... = 324 + 1/(63 + 1/(1 + 1/(1023 + 1/(64 + ...)))). - Harry J. Smith, May 12 2009

Prog

(PARI) { allocatemem(932245000); default(realprecision, 66000); x=4^5*suminf(n=0, 1/4^(2^n)); x=contfrac(x); for (n=1, 20001, write("b006465.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 12 2009

Crossrefs

Cf. A160387 = Decimal expansion. - Harry J. Smith, May 12 2009

Sequence in context: A346387 A110709 A298271 * A272298 A088214 A117550

Adjacent sequences: A006462 A006463 A006464 * A006466 A006467 A006468

Keyword

nonn,cofr

Author

N. J. A. Sloane

Extensions

Better description from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Dec 02 2002

Status

approved