A020762 -id:A020762 - cp's OEIS frontend

A380982 Decimal expansion of the long/short edge length ratio of a disdyakis triacontahedron.

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

Offset: 1

Paolo Xausa, Feb 10 2025

			1.8472135954999579392818347337462552470881236719223...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Disdyakis Triacontahedron.
Wikipedia, Disdyakis triacontahedron.

Cf. A380981 (medium/short edge length ratio).
Cf. A020762, A379388, A379708, A379709, A379710, A379711, A380940, A380941, A380942.
Apart from leading digits the same as A176453, A134974 and A010476.

First[RealDigits[7/5 + 1/Sqrt[5], 10, 100]] (* Paolo Xausa, Feb 10 2025 *)

Equals 1/sqrt(5) + 7/5 = A020762 + 7/5.

A145435 Decimal expansion of log(1/2 + 1/sqrt(2))/sqrt(5).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Feb 08 2009

This is an erroneous version of A086466 produced by the Apelblat formula, which contains two typos.

			0.084177408000833203035548695384667267885531840399884582887759..

Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.42.

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers

Cf. A014176, A020762.

SetDefaultRealField(RealField(100)); 1/5*Log(1/2+1/2*2^(1/2))*5^(1/2); // G. C. Greubel, Oct 02 2018

Maple
```
1/5*ln(1/2+1/2*2^(1/2))*5^(1/2) ;
```

Join[{0},RealDigits[Log[1/2+1/Sqrt[2] ]/Sqrt[5],10,120][[1]]] (* Harvey P. Dale, May 24 2016 *)

default(realprecision, 100); 1/5*log(1/2+1/2*2^(1/2))*5^(1/2) \\ G. C. Greubel, Oct 02 2018

Equals log(A014176/2)*A020762.

Uncovered Apelblat errors. - R. J. Mathar, Mar 04 2009

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A380982 Decimal expansion of the long/short edge length ratio of a disdyakis triacontahedron.

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A145435 Decimal expansion of log(1/2 + 1/sqrt(2))/sqrt(5).

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