A099535 -id:A099535 - cp's OEIS frontend

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

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

			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,...

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

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

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

A099539 Sum of the first n decimal places of sqrt(2).

Original entry on oeis.org

4, 5, 9, 11, 12, 15, 20, 26, 28, 31, 38, 41, 41, 50, 55, 55, 59, 67, 75, 75, 76, 82, 90, 98, 105, 107, 111, 113, 113, 122, 128, 137, 145, 145, 152, 160, 165, 171, 180, 186, 193, 194, 202, 209, 214, 217, 224, 230, 239, 243, 251, 251, 258, 261, 262, 269, 275, 281

Offset: 1

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

Cf. A099538 for a version of this sequence resulting from including all digits of sqrt(2) and not just the digits after the decimal point.

			Decimal places of sqrt(2) are 41421356237... so sums are 4, 4+1, 4+1+4, 4+1+4+2,... which gives 4, 5, 9, 11, ...

G. C. Greubel, Table of n, a(n) for n = 1..10000

Cf. A099538 and A099534, A099535, A099536, A099537, A039918, A046974, A046975 for analogous sequences based on other constants.

Accumulate[Rest[RealDigits[N[Sqrt[2],70]][[1]]]] (* Harvey P. Dale, Dec 12 2010 *)

a(n) = A099538(n+1) - 1.

cp's OEIS Frontend

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

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