A393165 Decimal expansion of (Pi^3)/96.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Michael Penn, This mix makes integrals very difficult!, YouTube video, 2025.

Formula

Equals Integral_{x=0..1} arcsinh(x)*arccos(x)/sqrt(x^2+1) dx.

Equals A153071/3 = A152584/4 = -A258749/8 = A225016/12 = A164105/16 = A091925/96.

Example

0.3229820487531231268278782819489728666898467558946...

Mathematica

First[RealDigits[Pi^3/96, 10, 100]]

Crossrefs

Cf. A091925, A152584, A153071, A164105, A225016, A258749.

Sequence in context: A177460 A091015 A256097 * A058147 A193344 A119954

Adjacent sequences: A393162 A393163 A393164 * A393166 A393167 A393168

Keyword

nonn,cons,easy

Author

Paolo Xausa, Feb 03 2026

Status

approved