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Sum of the first n digits of log(Pi)=1.14472988584940017...
1

%I #6 Aug 14 2018 16:14:43

%S 1,2,6,10,17,19,28,36,44,49,57,61,70,74,74,74,75,82,86,87,91,94,98,

%T 100,107,110,115,116,119,124,127,127,132,140,147,148,149,155,159,166,

%U 168,177,181,189,190,192,201,202,207,210,211,212,217,224,225,230,231,234

%N Sum of the first n digits of log(Pi)=1.14472988584940017...

%e log(Pi)=1.14472988584940017... which gives the sums 1, 1+1, 1+1+4, 1+1+4+4, 1+1+4+4+7,... leading to the terms 1, 2, 6, 10, 17,...

%t Accumulate[RealDigits[Log[Pi],10,120][[1]]] (* _Harvey P. Dale_, Aug 14 2018 *)

%Y Similarly constructed sequences A099534-A099539, A093084, A039918, A046974, A046975. Digits of log(Pi)=A053510.

%K base,easy,nonn

%O 1,2

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