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

Author

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

Keywords

• base
• easy
• nonn

Examples

			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,...
		

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

Programs

Mathematica

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

Formula

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