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.

A180311 Decimal expansion of -64/(9 Pi) + Pi.

Original entry on oeis.org

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

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Author

Eric W. Weisstein, Aug 26 2010

Keywords

Comments

Torsional rigidity constant for a full circular sector (sliced disk)-shaped shaft.

Examples

			0.87805568517172624086...

Links

Crossrefs

Cf. A180309, A180310, A180314, A180317.

Programs

A268508 Decimal expansion of Pi*sqrt(3)/8.

Original entry on oeis.org

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

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Author

Stanislav Sykora, Apr 16 2016

Keywords

Comments

Atomic packing factor (APF) for the body-centered cubic lattice (bcc), one of the very common crystallographic lattice types of chemical elements and compounds.

Examples

			0.68017476158783169397277934661580839960652484303477771583870685077...

Links

Crossrefs

Cf. A000796 (Pi), A002194 (sqrt(3)), A180317 (sqrt(3)/80).
APF's of other lattices: A093825 (fcc,hcp), A019673 (simple cubic), A247446 (diamond cubic).

Programs

  • Mathematica
    RealDigits[Pi Sqrt[3]/8, 10, 120][[1]] (* Eric W. Weisstein, Jan 04 2019 *)
  • PARI
    Pi*sqrt(3)/8

A376426 Decimal expansion of (2 + sqrt(3))/8.

Original entry on oeis.org

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

Views

Author

Stefano Spezia, Sep 22 2024

Keywords

Comments

This constant is given by Bombieri and Davenport as an upper bound on the lim inf_{n->oo} A001223(n)/log(n).

Examples

			0.46650635094610966169093079268823404586785...

References

  • R. K. Guy, Unsolved Problems in Number Theory, Section A8.

Links

  • E. Bombieri and Harold Davenport, Small differences between prime numbers, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences Vol. 293, No. 1432 (Jul. 5, 1966), pp. 1-18.

Crossrefs

Cf. A001223, A002194, A180317.

Programs

  • Mathematica
    RealDigits[(Sqrt[3]+2)/8,10,100][[1]]

Formula

Minimal polynomial: 64*x^2 - 32*x + 1. - Stefano Spezia, Aug 03 2025
Showing 1-3 of 3 results.

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

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