login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Decimal part of 1/a(n) starts with the n-th prime (leading zeros excluded).
0

%I #4 Mar 31 2012 20:08:01

%S 4,3,2,13,9,72,56,51,42,34,32,27,24,23,21,186,167,162,148,14,136,126,

%T 12,112,103,99,97,93,91,88,782,76,725,715,67,66,633,61,596,575,556,55,

%U 521,516,506,501,472,447,44,435,428,417,414,397,388,38,371,368,36,355,353

%N Decimal part of 1/a(n) starts with the n-th prime (leading zeros excluded).

%e a(1)= 4 -> 1/4 =0.{2}500000...

%e a(2)= 3 -> 1/3 =0.{3}333333...

%e a(3)= 2 -> 1/2 =0.{5}000000...

%e a(4)=13 -> 1/13=0.0{7}69230...

%e a(100)=1846 -> 1/1846=0.000{541}712 and 541 is the 100th prime.

%Y Cf. A034057.

%K easy,nonn,base

%O 1,1

%A _Gil Broussard_, Nov 17 2004