cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A160387 Decimal expansion of 4^5 * Sum_{n>=0} 1/4^(2^n).

Original entry on oeis.org

3, 2, 4, 0, 1, 5, 6, 2, 5, 2, 3, 8, 4, 1, 8, 5, 7, 9, 1, 5, 7, 0, 7, 3, 6, 5, 1, 2, 3, 1, 2, 5, 7, 8, 2, 7, 0, 2, 4, 1, 9, 0, 8, 4, 8, 9, 4, 2, 6, 4, 6, 0, 7, 1, 6, 4, 5, 3, 9, 9, 9, 6, 5, 5, 3, 5, 2, 8, 8, 9, 4, 8, 9, 3, 5, 2, 2, 4, 6, 2, 7, 2, 6, 1, 9, 3, 6, 9, 6, 0, 7, 6, 6, 3, 5, 8, 7, 9, 9, 9, 9, 2, 3, 8, 0
Offset: 3

Views

Author

Harry J. Smith, May 12 2009

Keywords

Examples

			324.0156252384185791570736512312578270241908489426460716453999655352889...
		

Crossrefs

Cf. A006465 Continued fraction.

Programs

  • PARI
    { default(realprecision, 20080); x=4^5*suminf(n=0, 1/4^(2^n))/100; for (n=3, 20000, d=floor(x); x=(x-d)*10; write("b160387.txt", n, " ", d)); }

Extensions

Fixed my PARI program, had -n Harry J. Smith, May 19 2009

A061678 Continued fraction for Sum_{n>=0} 1/3^(3^n).

Original entry on oeis.org

0, 2, 1, 2, 3, 26, 1, 2, 2, 1, 2, 19682, 1, 1, 1, 2, 2, 1, 26, 3, 2, 1, 2, 7625597484986, 1, 1, 1, 2, 3, 26, 1, 2, 2, 1, 1, 1, 19682, 2, 1, 2, 2, 1, 26, 3, 2, 1, 2, 443426488243037769948249630619149892802, 1, 1, 1, 2, 3, 26, 1, 2, 2, 1, 2, 19682
Offset: 0

Views

Author

Jason Earls, Jun 23 2001

Keywords

Comments

The continued fraction has a "folded" overall structure. Apart from a(0) and from the record values of the form 3^(3^k)-1 (k >= 0), the only terms are 1 and 3. This follows from the theorem in Shallit's paper. - Georg Fischer, Aug 29 2022

Examples

			0.370421175633926798495743189411...
		

Crossrefs

Programs

  • Mathematica
    ContinuedFraction[Sum[1/3^(3^i), {i, 0, 5}]] (* Michael De Vlieger, Jul 01 2018 *)
  • PARI
    { allocatemem(932245000); default(realprecision, 8000); x=contfrac(suminf(n=0, 1/3^(3^n))); for (n=0, 382, write("b061678.txt", n, " ", x[n+1])) } \\ Harry J. Smith, Jul 26 2009
Showing 1-2 of 2 results.