login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A211306 Numerator of Sum_{k=1..n} 1/lambda(k), where lambda(k) is the Carmichael's lambda function. 2

%I #21 Sep 19 2019 19:48:22

%S 1,2,5,3,13,15,47,53,55,29,74,163,331,341,89,371,1499,513,4657,4837,

%T 4957,5029,55679,59639,12007,12139,12227,12491,87833,90605,454873,

%U 461803,467347,117703,59429,30292,121553,122323,61739,126943,254579,259199,259859

%N Numerator of Sum_{k=1..n} 1/lambda(k), where lambda(k) is the Carmichael's lambda function.

%H Amiram Eldar, <a href="/A211306/b211306.txt">Table of n, a(n) for n = 1..10000</a>

%e 1, 2, 5/2, 3, 13/4, 15/4, 47/12, 53/12, 55/12, 29/6, 74/15, 163/30, ...

%p with(numtheory): a:=n->numer(sum(1/lambda(k), k=1..n)): seq(a(n), n=1..50);

%t Numerator[Table[Sum[1/CarmichaelLambda[k],{k,1,n}],{n,1,50}]]

%t Numerator @ Accumulate @ Table[1 / CarmichaelLambda[n], {n, 1, 50}] (* _Amiram Eldar_, Sep 19 2019 *)

%Y Cf. A002322, A028415, A212716 (denominator).

%K nonn,frac

%O 1,2

%A _Michel Lagneau_, May 25 2012

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)