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A384215
Decimal expansion of the surface area of a gyroelongated square cupola with unit edge.
7
1, 8, 4, 8, 8, 6, 8, 1, 1, 6, 2, 5, 9, 0, 5, 7, 6, 5, 6, 5, 2, 4, 0, 6, 0, 9, 1, 5, 5, 9, 4, 8, 7, 5, 7, 9, 9, 1, 8, 5, 3, 3, 7, 0, 0, 1, 9, 8, 0, 5, 7, 9, 9, 2, 8, 6, 6, 3, 2, 3, 9, 4, 3, 7, 3, 2, 4, 1, 1, 3, 0, 0, 4, 1, 4, 6, 8, 2, 1, 4, 2, 6, 3, 1, 0, 6, 5, 0, 6, 0
OFFSET
2,2
COMMENTS
The gyroelongated square cupola is Johnson solid J_23.
FORMULA
Equals 7 + 2*sqrt(2) + 5*sqrt(3) = 7 + A010466 + 5*A002194.
Equals the largest root of x^4 - 28*x^3 + 128*x^2 + 952*x - 1244.
EXAMPLE
18.4886811625905765652406091559487579918533700198...
MATHEMATICA
First[RealDigits[7 + Sqrt[8] + Sqrt[75], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J23", "SurfaceArea"], 10, 100]]
CROSSREFS
Cf. A384214 (volume).
Sequence in context: A202998 A110835 A087015 * A200224 A345929 A336065
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, May 23 2025
STATUS
approved