A377559 Decimal expansion of Sum_{k>=0} 1/(5*k + 1)^3.

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

Offset

1,4

Links

Table of n, a(n) for n=1..100.

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 32.

Formula

Equals -psi''(1/5)/250 (see Shamos).

Example

1.00591214445774373223679236014700144825493611206...

Mathematica

RealDigits[-PolyGamma[2, 1/5]/250, 10, 100][[1]]

Crossrefs

Cf. A016861, A016863, A233091, A377557, A377558, A377560.

Sequence in context: A201676 A199797 A188616 * A274418 A127414 A186192

Adjacent sequences: A377556 A377557 A377558 * A377560 A377561 A377562

Keyword

nonn,cons

Author

Stefano Spezia, Nov 01 2024

Status

approved