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 1-3 of 3 results.

A033311 Positions of incrementally largest terms in continued fraction for Copeland-Erdős constant.

Original entry on oeis.org

1, 2, 4, 5, 6, 18, 36, 72, 89, 1557, 3728, 4730, 27642, 60322, 90720, 104378, 107183, 241453, 453796, 679114, 901262, 934243, 1298092, 5996127, 7360332, 76543031, 299039550, 382621530
Offset: 1

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Author

Keywords

Comments

This version uses an incorrect c.f. term indexing of [a_1; a_2, ...] instead of [a_0; a_1, ...]; see A224890 for correctly indexed version.

Crossrefs

Cf. A224890 (= a(n) - 1).

Formula

a(n) = A224890(n) + 1.

Extensions

More terms from Eric W. Weisstein, Mar 25 2009

A224890 Positions of incrementally largest terms in continued fraction for Copeland-Erdős constant.

Original entry on oeis.org

0, 1, 3, 4, 5, 17, 35, 71, 88, 1556, 3727, 4729, 27641, 60321, 90719, 104377, 107182, 241452, 453795, 679113, 901261, 934242, 1298091, 5996126, 7360331, 76543030, 299039549, 382621529
Offset: 1

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Author

Eric W. Weisstein, Jul 24 2013

Keywords

Comments

Correctly indexed version of A033311.

Examples

			The c.f. of the Copeland-Erdős constant is [a_0; a_1, a_2, ...] = [0; 4, 4, 8, 16, 18, 5, 1, ...], so record terms occur at positions 0, 1, 3, 4, 5, ...
		

Crossrefs

Cf. A033311 (= a(n) + 1).
Cf. A033310 (incrementally largest terms).
Cf. A030168 (continued fraction for Copeland-Erdős constant).

Formula

a(n) = A033311(n) - 1.

Extensions

a(25)-a(28) from Eric W. Weisstein, Jul 24 2013

A066707 Incrementally largest terms in the continued fraction for the constant given by Sum_{k>=0} A033308(k) / 2^k = 2.89104866587305422....

Original entry on oeis.org

2, 8, 10, 32, 39, 5903, 135598
Offset: 1

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Author

Robert G. Wilson v, Jan 14 2002

Keywords

Comments

Previous name: Incrementally largest terms in the continued fraction for Copeland-Erdos constant 0.235711... (concatenate primes).
Appears to be a mistaken version of A033310 in which base 2 has been used in the "concatenation" of the digits in A033308 while still interpreting the digits of A033308 as decimal. - Sean A. Irvine, Nov 03 2023

Crossrefs

Programs

  • Mathematica
    a = {}; Do[a = Append[a, IntegerDigits[ Prime[n]]], {n, 1, 5*10^4} ]; b = ContinuedFraction[ N[ FromDigits[{Flatten[a], 0}, 2], 5*10^4]]; c = -1; d = {}; Do[ If[b[[n]] > c, c = b[[n]]; d = Append[d, c]], {n, 1, 48336} ]; d

Extensions

Name changed to match data by Sean A. Irvine, Nov 03 2023
Showing 1-3 of 3 results.