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.

A085826 Continued fraction expansion of number defined in A085825.

Original entry on oeis.org

2, 1, 1, 6, 2, 3, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 5, 5, 2, 17, 1, 1, 8, 1, 7, 2, 3, 2, 1, 6, 2, 3, 7, 1, 61, 1, 4, 3, 2, 1, 1, 1, 5, 1, 27, 1, 2, 1, 1, 3, 1, 8, 1, 2, 4, 5, 1, 7, 12, 2, 2, 1, 3, 1, 2, 4, 6, 3, 4, 1, 2, 1, 1, 2, 4, 3, 1, 10, 3, 11, 3, 5, 12, 1, 1, 1, 4, 1, 2, 8, 49, 1, 1, 1, 1, 1, 126, 1
Offset: 0

Views

Author

Robert G. Wilson v, Jul 06 2003

Keywords

Crossrefs

Cf. A085825 (decimal expansion).

Programs

  • Mathematica
    s = 0; Do[s = Prime[2n]/(Prime[2n + 1] + s), {n, 500, 1, -1}]; ContinuedFraction[2 + s, 102]

Extensions

Offset changed by Andrew Howroyd, Aug 07 2024

A085827 Increasing partial quotients of number defined in A085825 and A085826.

Original entry on oeis.org

2, 6, 17, 61, 126, 977090, 1474739
Offset: 1

Views

Author

Robert G. Wilson v, Jul 06 2003

Keywords

Comments

977090 occurs at PQ_142, whereas 1474739 occurs at PQ_514488 out of the first 1155900 PQs.

Crossrefs

Programs

  • Mathematica
    s = 0; Do[s = Prime[2n]/(Prime[2n + 1] + s), {n, 10^5, 1, -1}]; h = ContinuedFraction[s]; a = 0; k = 1; Do[ While[ h[[k]] ? a, k++ ]; Print[ h[[k]]], {n, 1, 30}]

A330867 Decimal expansion of the continued fraction 1/(1 + 2/(2 + 3/(3 + 5/(5 + 7/(7 + ... + prime(k)/(prime(k) + ...)))))).

Original entry on oeis.org

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

Views

Author

Ilya Gutkovskiy, Apr 28 2020

Keywords

Examples

			0.58152500459221465439915170481800446195586754...
		

Crossrefs

Showing 1-3 of 3 results.