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.

A385802 Decimal expansion of the volume of a parabiaugmented dodecahedron with unit edge.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 09 2025

Keywords

Comments

The parabiaugmented dodecahedron is Johnson solid J_59.
Also the volume of a metabiaugmented dodecahedron (Johnson solid J_60) with unit edge.

Examples

			8.266124625416281110083485059340673098307800325954...

Links

Crossrefs

Cf. A385803 (surface area).
Cf. A002163, A102769, A179552, A385695, A385804.

Programs

  • Mathematica
    First[RealDigits[(25 + 11*Sqrt[5])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J59", "Volume"], 10, 100]]

Formula

Equals (25 + 11*sqrt(5))/6 = (25 + 11*A002163)/6.
Equals A102769 + 2*A179552.
Equals the largest root of 9*x^2 - 75*x + 5.

A385804 Decimal expansion of the volume of a triaugmented dodecahedron with unit edge.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 09 2025

Keywords

Comments

The triaugmented dodecahedron is Johnson solid J_61.

Examples

			8.56762745781210568076720062887114294145115942427...

Links

Crossrefs

Cf. A385805 (surface area).
Cf. A010499, A102769, A179552, A377697, A385695, A385802.

Programs

  • Mathematica
    First[RealDigits[5/8*(7 + Sqrt[45]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J61", "Volume"], 10, 100]]

Formula

Equals (5/8)*(7 + 3*sqrt(5)) = (5/8)*(7 + A010499).
Equals A102769 + 3*A179552.
Equals the largest root of 16*x^2 - 140*x + 25.
Equals A377697^2. - Hugo Pfoertner, Jul 13 2025

A385696 Decimal expansion of the surface area of an augmented dodecahedron with unit edge.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 08 2025

Keywords

Comments

The augmented dodecahedron is Johnson solid J_58.

Examples

			21.090314915939732767258439678157046052159622437375...

Links

Crossrefs

Cf. A385695 (volume).
Cf. A002194, A010476, A385803, A385805.

Programs

  • Mathematica
    First[RealDigits[(5*Sqrt[3] + 11*Sqrt[25 + 10*Sqrt[5]])/4, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J58", "SurfaceArea"], 10, 100]]

Formula

Equals (5*sqrt(3) + 11*sqrt(5*(5 + 2*sqrt(5))))/4 = (5*A002194 + 11*sqrt(5*(5 + A010476)))/4.
Equals the largest root of 256*x^8 - 198400*x^6 + 41204000*x^4 - 1620087500*x^2 + 7460640625.
Showing 1-3 of 3 results.

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