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.

A019812 Decimal expansion of sine of 3 degrees.

Original entry on oeis.org

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

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Author

N. J. A. Sloane

Keywords

Comments

An algebraic number of degree 16 and denominator 2. - Charles R Greathouse IV, Nov 02 2012
The minimal polynomial is p(x) = 65536*x^16 - 262144*x^14 + 430080*x^12 - 372736*x^10 + 182784*x^8 - 50176*x^6 + 7040*x^4 - 384*x^2 + 1 and p(x/2) = x^16 - 16*x^14 + 105*x^12 - 364*x^10 + 714*x^8 - 784*x^6 + 440*x^4 - 96*x^2 + 1. - Joerg Arndt, Apr 23 2024
The Fifteenth Century Persian mathematician Jamshid Al-Kashi was the first to calculate the value of sine of one degree correct to ten sexagesimal places (17 decimal digits) from sine of 3 degrees in his Risala al-Watar wa'l Jaib. - Mohammad K. Azarian,Jan 14 2017

Examples

			0.052335956242943832722118629609...

Links

Crossrefs

Cf. A019896 (cosine), A019901 (tangent), A019985 (cotangent): for 3 degrees.
Cf. A019810, A019811, A019897, A019898.

Programs

Formula

Equals cos(87 degrees) = cos(29*Pi/60) = sin(Pi/60) = sqrt(8-sqrt(3)-sqrt(15)-sqrt(10-2*sqrt(5)))/4 (an intermediate calculation by Dr. Rob - see Math Forum link). - Rick L. Shepherd, Jul 03 2006
Equals A019811*A019898 + A019810*A019897. - R. J. Mathar, Jan 27 2021

A019813 Decimal expansion of sine of 4 degrees.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Comments

An algebraic number of degree 24 and denominator 2. - Charles R Greathouse IV, Aug 27 2017

Examples

			0.06975...

Links

Programs

Formula

Equals 2*A019811*A019897. - R. J. Mathar, Jan 17 2021

Extensions

Zero added in front by R. J. Mathar, Feb 05 2009

A019986 Decimal expansion of tangent of 88 degrees.

Original entry on oeis.org

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

Views

Author

N. J. A. Sloane

Keywords

Comments

Also the decimal expansion of cotangent of 2 degrees. - Ivan Panchenko, Sep 01 2014
The least positive k such that floor(10^k tan 88°) is prime is k = 289 = 17^2. The sum of digits of the resulting prime is the prime 1279, whose sum of digits is the same as that of k, again a prime, 19. - M. F. Hasler, May 19 2023

Links

Crossrefs

Cf. A019899 - A019987 (same for 1, ..., 89 degrees).

Programs

  • Mathematica
    RealDigits[Tan[88 Degree],10,120][[1]] (* Harvey P. Dale, Aug 29 2016 *)

Formula

Equals A019897 / A019811. - R. J. Mathar, Feb 12 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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