A389274 Decimal expansion of 91*Pi^6/87480.

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

Offset

1,6

Links

Jason Bard, Table of n, a(n) for n = 1..10000

Michael Ian Shamos, Shamos's Catalog of the Real Numbers, (2011). See p. 27.

Index entries for transcendental numbers.

Formula

Equals (637/648) * zeta(6) = (637/648) * A013664.

Equals (91/405) * zeta(2)^3 = (91/405) * A013661^3.

Equals Sum_{k>=0} (1/(6*k+1)^6 + 1/(6*k+5)^6). - Amiram Eldar, Sep 29 2025

Example

1.0000733495124908981452900019703956423973113289366...

Mathematica

First[RealDigits[91*Pi^6/87480, 10, 100]]

Prog

(PARI) 91*Pi^6/87480 \\ Charles R Greathouse IV, Oct 07 2025

Crossrefs

Cf. A013664, A013661.

Sequence in context: A154019 A011299 A225453 * A388328 A385423 A373100

Adjacent sequences: A389271 A389272 A389273 * A389275 A389276 A389277

Keyword

nonn,cons

Author

Jason Bard, Sep 28 2025

Status

approved