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.

A144982 Decimal expansion of cos(Pi/24) = cos(7.5 degrees).

Original entry on oeis.org

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

Views

Author

R. J. Mathar, Sep 28 2008

Keywords

Comments

Octic number of denominator 2 and minimal polynomial 256x^8 - 512x^6 + 320x^4 - 64x^2 + 1. - Charles R Greathouse IV, May 13 2019

Examples

			Equals 0.9914448613738104111445575269285628712777382744...

Links

Programs

Formula

sqrt(2*sqrt(2)+sqrt(3)+1)/2^(5/4) =sqrt(A010466+A090388)/A011027.
Equals 2F1(9/16,7/16;1/2;3/4) / 2 . - R. J. Mathar, Oct 27 2008
4*this^3 -3*this = A144981. - R. J. Mathar, Aug 29 2025
Equals 2F1(-1/16,1/16;1/2;3/4) = 2F1(-1/12,1/12;1/2;1/2). - R. J. Mathar, Aug 31 2025

A387148 Decimal expansion of the largest dihedral angle, in radians, in a gyroelongated square pyramid (Johnson solid J_10).

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Aug 19 2025

Keywords

Comments

This is the dihedral angle between a triangular face in the square pyramid part and a triangular face in the square antiprism part of the solid.
Also the analogous dihedral angle in a gyroelongated square bipyramid (Johnson solid J_17).

Examples

			2.76759950111674795948641922563774170695233176699...

Links

Crossrefs

Cf. other J_10 dihedral angles: A156546, A387149, A387150.
Cf. A179638 (J_10 volume), A374948 (J_10 surface area).
Cf. A002193, A011027.

Programs

  • Mathematica
    First[RealDigits[ArcCos[(1 - Sqrt[2] - 32^(1/4))/3], 10, 100]] (* or *)
First[RealDigits[Max[PolyhedronData["J10", "DihedralAngles"]], 10, 100]]

Formula

Equals arccos((1 - sqrt(2) - 2*2^(1/4))/3) = arccos((1 - A002193 - A011027)/3).

A203127 Decimal expansion of (3/8)! = Gamma(11/8).

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane, Dec 29 2011

Keywords

Examples

			0.88891356915622534074242756406624469120777530125959687041567...

Links

Crossrefs

Cf. A011027, A203130, A203143, A203146, A231863.

Programs

Formula

Equals 3*A203143/8. - R. J. Mathar, Jan 15 2021
A203146 * this * A231863 * A011027 = A203130. - R. J. Mathar, Jan 15 2021
Equals Integral_{x=0..oo} exp(-x^(8/3)) dx. - Ilya Gutkovskiy, Apr 10 2024
Showing 1-3 of 3 results.

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

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