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 1-4 of 4 results.

A292101 Decimal expansion of the "e*Pi" constant c_0*d_0 + c_1*d_1/10 + c_2*d_2/100 + c_3*d_3/1000 + ... where c_0 + c_1/10 + c_2/100 + c_3/1000 + ... and d_0 + d_1/10 + d_2/100 + d_3/1000 + ... (with c_k, d_k in the range 0 to 9) are the decimal expansions of e and Pi.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Sep 12 2017

Keywords

Examples

			Equals 6.7497269264813755315615427639710079491995038394759491485523711961281...,
which is 6 + 7/10 + 4/10^2 + 8/10^3 + 10/10^4 + 72/10^5 + 2/10^6 + 48/10^7 + 10/10^8 + 24/10^9 + ...

Crossrefs

This is the component-wise product (in a certain sense) of A001113 and A000796 (cf. A073177). See A292107 for another version.
Cf. A228239, A231325.

A291854 Decimal expansion of the "Pi AND e" (Piande) constant.

Original entry on oeis.org

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

Views

Author

Alois P. Heinz, Sep 13 2017

Keywords

Comments

Pi_2 = 11.00100100001111110... -> 3.1415926535897...
e_2 = 10.10110111111000010... -> 2.7182818284590...
Pi_2 AND e_2 = 10.00100100001000010... -> 2.1411323548533...

Examples

			2.1411323548533155483334288212398570571182864149673143672536880794...

Crossrefs

Cf. A000796, A001113, A004593, A004601, A019609, A059742, A114916, A228239, A231325, A292101, A292107, A291858.

Formula

Equals A059742 - A291858 = A291858 - A114916.

A291858 Decimal expansion of the "Pi OR e" (Piore) constant.

Original entry on oeis.org

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

Views

Author

Alois P. Heinz, Sep 13 2017

Keywords

Comments

Pi_2 = 11.00100100001111110... -> 3.1415926535897...
e_2 = 10.10110111111000010... -> 2.7182818284590...
Pi_2 OR e_2 = 11.10110111111111110... -> 3.7187421271955...

Examples

			3.71874212719552292548950203339230832483613007810775102868822414063...

Crossrefs

Cf. A000796, A001113, A004593, A004601, A019609, A059742, A114916, A228239, A231325, A292101, A292107, A291854.

Formula

Equals A059742 - A291854 = A291854 + A114916.

A292106 Term-by-term products of continued fraction expansion of e and Pi.

Original entry on oeis.org

6, 7, 30, 1, 292, 4, 1, 1, 12, 1, 3, 8, 14, 2, 10, 1, 2, 24, 2, 2, 14, 84, 2, 16, 1, 15, 54, 13, 1, 80, 2, 6, 132, 99, 1, 48, 2, 6, 78, 5, 1, 28, 6, 8, 30, 7, 1, 64, 3, 7, 34, 2, 1, 36, 12, 1, 38, 1, 3, 40, 1, 8, 42, 1, 2, 44, 6, 1, 46, 5, 2, 96, 3, 1, 100, 4
Offset: 0

Views

Author

N. J. A. Sloane, Sep 14 2017

Keywords

Links

Crossrefs

Cf. A001203, A003417, A292107.

Programs

  • Mathematica
    With[{nmax=100},ContinuedFraction[E,nmax]ContinuedFraction[Pi,nmax]] (* Paolo Xausa, Oct 22 2023 *)

Formula

a(n) = A003417(n) * A001203(n).

Extensions

Offset changed by Andrew Howroyd, Aug 07 2024
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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