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

Author

Paolo Xausa, Mar 21 2025

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			0.94589729569572915819104290151289352372582657558544...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers

Crossrefs

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

Cf. A000796, A381684.

Programs

Mathematica

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

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.