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.

A372268 Decimal expansion of the largest positive zero of the Legendre polynomial of degree 4.

Original entry on oeis.org

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

Views

Author

Pontus von Brömssen, Apr 25 2024

Keywords

Examples

			0.861136311594052575223946488892809505095725379629717637615721...
		

Crossrefs

There are floor(k/2) positive zeros of the Legendre polynomial of degree k:
k | zeros
---+--------------------------
2 | A020760
3 | A010513/10

Programs

  • Mathematica
    First[RealDigits[Root[LegendreP[4, #] &, 4], 10, 100]] (* Paolo Xausa, Feb 27 2025 *)

Formula

Largest positive root of 35*x^4 - 30*x^2 + 3 = 0.
Equals sqrt((3+2*sqrt(6/5))/7).