A382013 Decimal expansion of the isoperimetric quotient of a pentagonal hexecontahedron.

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

Offset

0,1

Comments

For the definition of isoperimetric quotient of a solid, references and links, see A381684.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Index entries for transcendental numbers

Formula

Equals 36*Pi*A379889^2/(A379888^3).

Equals Pi*r = A000796*r, where r is the largest real root of 833792316361265129150390625*x^12 - 76417843993663777294921875*x^10 + 75406453847680345312500*x^8 - 6451350086449828125*x^6 + 27511634863125*x^4 - 1145722050*x^2 + 961.

Example

0.94589729569572915819104290151289352372582657558544...

Mathematica

First[RealDigits[Pi*Root[833792316361265129150390625*#^12 - 76417843993663777294921875*#^10 + 75406453847680345312500*#^8 - 6451350086449828125*#^6 + 27511634863125*#^4 - 1145722050*#^2 + 961 &, 8], 10, 100]]

Crossrefs

Cf. A379888 (surface area), A379889 (volume).

Cf. A000796, A381684.

Sequence in context: A172197 A382011 A388499 * A016630 A389012 A388242

Adjacent sequences: A382010 A382011 A382012 * A382014 A382015 A382016

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 21 2025

Status

approved