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URL: https://oeis.org/A386464

⇱ A386464 - OEIS


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A386464
Decimal expansion of the volume of an augmented truncated dodecahedron with unit edges.
5
8, 7, 3, 6, 3, 7, 0, 9, 8, 7, 7, 7, 0, 4, 0, 7, 4, 6, 8, 5, 6, 1, 9, 1, 0, 0, 1, 2, 5, 1, 4, 1, 6, 7, 7, 1, 0, 1, 0, 0, 5, 8, 5, 5, 1, 1, 5, 4, 6, 6, 7, 2, 9, 2, 4, 9, 8, 1, 9, 0, 0, 2, 5, 5, 2, 8, 9, 6, 3, 8, 2, 0, 7, 7, 4, 9, 8, 8, 8, 2, 5, 4, 6, 4, 7, 5, 2, 2, 5, 1
OFFSET
2,1
COMMENTS
The augmented truncated dodecahedron is Johnson solid J_68.
FORMULA
Equals 505/12 + 81*sqrt(5)/4 = 505/12 + 81*A204188.
Equals A377695 + A179590.
Equals the largest root of 36*x^2 - 3030*x - 10055.
EXAMPLE
87.3637098777040746856191001251416771010058551...
MATHEMATICA
First[RealDigits[505/12 + 81/4*Sqrt[5], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J68", "Volume"], 10, 100]]
CROSSREFS
Cf. A386465 (surface area).
Sequence in context: A257581 A182499 A358943 * A198561 A086253 A388904
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Jul 25 2025
STATUS
approved