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

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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

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

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]

Crossrefs

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

Programs

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

Extensions

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