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URL: https://oeis.org/A377697

⇱ A377697 - OEIS

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A377697
Decimal expansion of the midradius of a truncated dodecahedron with unit edge length.
6
2, 9, 2, 7, 0, 5, 0, 9, 8, 3, 1, 2, 4, 8, 4, 2, 2, 7, 2, 3, 0, 6, 8, 8, 0, 2, 5, 1, 5, 4, 8, 4, 5, 7, 1, 7, 6, 5, 8, 0, 4, 6, 3, 7, 6, 9, 7, 0, 8, 6, 4, 4, 2, 9, 3, 2, 0, 3, 1, 7, 2, 9, 3, 4, 0, 5, 7, 8, 9, 0, 6, 9, 4, 2, 2, 8, 3, 5, 3, 6, 7, 4, 5, 6, 0, 8, 1, 0, 8, 0
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Truncated Dodecahedron.
FORMULA
Equals (5 + 3*sqrt(5))/4 = (5 + A010499)/4.
Equals A205769 - 1/2.
EXAMPLE
2.9270509831248422723068802515484571765804637697...
MATHEMATICA
First[RealDigits[(5 + Sqrt[45])/4, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedDodecahedron", "Midradius"], 10, 100]]
CROSSREFS
Cf. A377694 (surface area), A377695 (volume), A377696 (circumradius), A377698 (Dehn invariant, negated).
Cf. A239798 (analogous for a regular dodecahedron).
Sequence in context: A074957 A196401 A382802 * A199726 A171546 A268682
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Nov 05 2024
STATUS
approved