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.

A346850 Decimal expansion of 2 - 19 * Pi^5 / (4096 * sqrt(2)).

Original entry on oeis.org

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

Views

Author

Sean A. Irvine, Aug 06 2021

Keywords

Examples

			0.9962443136043449890150002455290495214554520...

References

  • L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

Links

Crossrefs

Cf. A346571, A346908, A346907, A346849.

Programs

  • Mathematica
    RealDigits[2 - 19*Pi^5/(4096*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)

Formula

Equals 2 - 19 * Pi^5 / (2^12 * sqrt(2)).
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^5 - (-1)^k/(4*k+1)^5 ).

A346907 Decimal expansion of 2 - 3 * Pi^3 / (2^6 * sqrt(2)).

Original entry on oeis.org

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

Views

Author

Sean A. Irvine, Aug 06 2021

Keywords

Examples

			0.9722774140631414321207433819977442327898996814630...

References

  • L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

Links

Crossrefs

Cf. A346908, A346849, A346850.

Programs

  • Mathematica
    RealDigits[2-3*Pi^3/(2^6*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)

Formula

Equals 2 - 3 * Pi^3 / (2^6 * sqrt(2)) = 2-A251809.
Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^3 - (-1)^k/(4*k+1)^3 ).

A346908 Decimal expansion of 2 - Pi / (2*sqrt(2)).

Original entry on oeis.org

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

Views

Author

Sean A. Irvine, Aug 06 2021

Keywords

Examples

			0.889279265460408438246029752484826575346344577656...

References

  • L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).

Links

Crossrefs

Cf. A346907, A346850, A346849, A093954.

Programs

  • Maple
    evalf(2-Pi/sqrt(8), 140);  # Alois P. Heinz, Aug 06 2021
  • Mathematica
    RealDigits[2 - Pi / (2 * Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 07 2023 *)
  • PARI
    2 - Pi/(2*sqrt(2)) \\ Michel Marcus, Aug 06 2021

Formula

Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1) - (-1)^k/(4*k+1) ).
Showing 1-3 of 3 results.

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

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