A099537 Sum of the first n decimal places of zeta(3) (Apery's constant). This does not include the initial "1." of zeta(3).

2, 2, 4, 4, 9, 15, 24, 24, 27, 28, 33, 42, 47, 56, 60, 62, 70, 75, 78, 87, 96, 103, 106, 114, 115, 121, 122, 127, 128, 129, 133, 137, 146, 155, 164, 164, 171, 177, 181, 190, 198, 204, 206, 215, 217, 220, 224, 224, 228, 237, 245, 253, 261, 262, 269, 278, 280, 282

Offset

1,1

Links

Table of n, a(n) for n=1..58.

Formula

a(n)=A099536(n+1)-1

Example

The decimal places of zeta(3) are 2020569031... so the sums are 2, 2+0, 2+0+2,
2+0+2+0, 2+0+2+0+5, ... which gives 2, 2, 4, 4, 9,...

Mathematica

Accumulate[Rest[RealDigits[Zeta[3], 10, 60][[1]]]] (* Harvey P. Dale, May 23 2021 *)

Crossrefs

Cf. A099535 for version when including all digits of zeta(3).

Apéry's number or Apéry's constant zeta(3) is A002117. - N. J. A. Sloane, Jul 11 2023

Sequence in context: A053656 A364752 A035054 * A109525 A243330 A318838

Adjacent sequences: A099534 A099535 A099536 * A099538 A099539 A099540

Keyword

base,easy,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 22 2004

Status

approved