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A386459
Decimal expansion of the volume of an augmented truncated cube with unit edges.
4
1, 5, 5, 4, 2, 4, 7, 2, 3, 3, 2, 6, 5, 6, 5, 0, 6, 9, 2, 6, 9, 4, 2, 3, 3, 9, 8, 6, 2, 4, 5, 1, 7, 2, 3, 0, 8, 5, 7, 0, 4, 9, 1, 6, 6, 6, 8, 6, 7, 7, 0, 5, 6, 3, 9, 0, 2, 7, 5, 6, 2, 5, 2, 6, 9, 2, 8, 3, 9, 0, 6, 5, 5, 1, 7, 9, 7, 9, 0, 4, 2, 0, 7, 2, 0, 2, 0, 6, 6, 8
OFFSET
2,2
COMMENTS
The augmented truncated cube is Johnson solid J_66.
FORMULA
Equals 8 + 16*sqrt(2)/3 = 8 + 16*A131594.
Equals A377299 + A179587.
Equals the largest root of 9*x^2 - 144*x + 64.
EXAMPLE
15.5424723326565069269423398624517230857049...
MATHEMATICA
First[RealDigits[8 + 16*Sqrt[2]/3, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J66", "Volume"], 10, 100]]
PROG
(PARI) 8+16*sqrt(2)/3 \\ Charles R Greathouse IV, Aug 06 2026
(PARI) polrootsreal(9*x^2-144*x+64)[2] \\ Charles R Greathouse IV, Aug 06 2026
CROSSREFS
Cf. A386460 (surface area).
Sequence in context: A193721 A396329 A377202 * A019927 A332506 A019805
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Jul 22 2025
STATUS
approved