A099536 Sum of the first n digits of Zeta(3) (Apery's constant), including the initial 1.

1, 3, 3, 5, 5, 10, 16, 25, 25, 28, 29, 34, 43, 48, 57, 61, 63, 71, 76, 79, 88, 97, 104, 107, 115, 116, 122, 123, 128, 129, 130, 134, 138, 147, 156, 165, 165, 172, 178, 182, 191, 199, 205, 207, 216, 218, 221, 225, 225, 229, 238, 246, 254, 262, 263, 270, 279, 281

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

Zeta(3)=1.20205690... so sequence begins 1, 1+2, 1+2+0, 1+2+0+2, 1+2+0+2+0,
1+2+0+2+0+5,... which gives 1, 3, 3, 5, 5, 10, ...

Mathematica

Accumulate[RealDigits[Zeta[3], 10, 120][[1]]] (* Harvey P. Dale, Jan 18 2012 *)

Crossrefs

Analogous sequences for other constants: A096535 (log 2), A099534 and A046975 (e), A039918 and A046974 (Pi).

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

Sequence in context: A187494 A283843 A241508 * A345001 A082434 A078752

Adjacent sequences: A099533 A099534 A099535 * A099537 A099538 A099539

Keyword

base,easy,nonn

Author

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

Status

approved