A099541 Sum of the first n decimal places of log(Pi).

1, 5, 9, 16, 18, 27, 35, 43, 48, 56, 60, 69, 73, 73, 73, 74, 81, 85, 86, 90, 93, 97, 99, 106, 109, 114, 115, 118, 123, 126, 126, 131, 139, 146, 147, 148, 154, 158, 165, 167, 176, 180, 188, 189, 191, 200, 201, 206, 209, 210, 211, 216, 223, 224, 229, 230, 233, 239

Offset

1,2

Links

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

Formula

a(n)=A099540(n+1)-1

Example

The decimal places of log(Pi) are 14472988584940017..., leading to the sums
1, 1+4, 1+4+4, 1+4+4+7, 1+4+4+7+2, ... which give the terms 1, 5, 9, 16, 18,...

Mathematica

Accumulate[Rest[RealDigits[Log[Pi], 10, 100][[1]]]] (* Harvey P. Dale, Jan 22 2024 *)

Crossrefs

Cf. A099540 for version that includes the initial "1." of log(Pi). A053510 for digits of log(Pi).

Sequence in context: A315087 A315088 A315089 * A274530 A315090 A315091

Adjacent sequences: A099538 A099539 A099540 * A099542 A099543 A099544

Keyword

base,easy,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 25 2004

Status

approved