A393259 Decimal expansion of 5*Pi^2/54 - 197/216.

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

Offset

0,4

References

Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See exercise 111 at page 269.

Links

Table of n, a(n) for n=0..101.

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 24.

Index entries for transcendental numbers

Formula

Equals Sum_{k>=0} (k!/(4 + k)!)^2 [Knopp].

Equals Sum_{k>0} 1/(k*(k + 1)*(k + 2)*(k + 3))^2 [Shamos].

Example

0.001815222323088761003193611099643623640157352522...

Mathematica

Join[{0, 0}, RealDigits[5Pi^2/54-197/216, 10, 100][[1]]]

Crossrefs

Cf. A002388, A102753, A145426, A145427.

Sequence in context: A231772 A396733 A338935 * A200120 A385258 A154861

Adjacent sequences: A393256 A393257 A393258 * A393260 A393261 A393262

Keyword

nonn,cons,easy

Author

Stefano Spezia, Feb 07 2026

Status

approved