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

Author

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

Keywords

• base
• easy
• nonn

Examples

			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,...
		

Crossrefs

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

Programs

Mathematica

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

Formula

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