A389442 Decimal expansion of (307/655360) * (Pi^7/sqrt(2)).

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

Offset

1,5

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 (307/655360) * A092735 * A010503.

Equals Sum_{k>=1} (((-1)^(k+1))/((4*k-3)^7)) + (((-1)^(k+1))/((4*k-1)^7)).

Equals (1/2097152) * (zeta(7, 1/8) + zeta(7, 3/8) - zeta(7, 5/8) - zeta(7, 7/8)) where zeta is the Hurwitz zeta function.

Equals Sum_{k>=0} ((-1)^floor(k/2)) / ((2*k+1)^7).

Example

1.000443474605655003573027505364482298517498...

Mathematica

RealDigits[(307/655360)*(Pi^7/Sqrt[2]), 10, 100][[1]]

Crossrefs

Cf. A010503, A092735.

Sequence in context: A106147 A202393 A073321 * A055620 A072420 A377049

Adjacent sequences: A389439 A389440 A389441 * A389443 A389444 A389445

Keyword

nonn,cons

Author

Jason Bard, Oct 04 2025

Status

approved