A393967 Decimal expansion of Pi_3, a generalized version of Pi used in squigonometry.

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

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Robert D. Poodiack, Squigonometry, Hyperellipses, and Supereggs, Mathematics Magazine, vol. 89, no. 2, 2016, pp. 92-102.

Wikipedia, Squigonometry.

Index entries for transcendental numbers.

Formula

Equals Gamma(1/3)^3/(sqrt(3)*Pi) = A073005^3/A304656 (see Poodiack, 2016, eq. 7).

Equals 2*Integral_{t=0..1} 1/((1 - t^3)^(2/3)) dt.

Example

3.5332775005708999146273789992968774051437370764051...

Mathematica

First[RealDigits[Gamma[1/3]^3/(Sqrt[3]*Pi), 10, 100]] (* or *)
First[RealDigits[2*Integrate[1/((1 - t^3)^(2/3)), {t, 0, 1}], 10, 100]]

Prog

(PARI) gamma(1/3)^3/(sqrt(3)*Pi) \\ Charles R Greathouse IV, Jul 19 2026

Crossrefs

Cf. A175576 (Pi_4), A393968 (Pi_5).

Cf. A073005, A304656.

Sequence in context: A161670 A135514 A251754 * A225581 A275391 A092553

Adjacent sequences: A393964 A393965 A393966 * A393968 A393969 A393970

Keyword

nonn,cons,changed

Author

Paolo Xausa, Mar 25 2026

Status

approved