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!)
A174435 lambda(y)/x, where y an odd squarefree semiprime and x = ord(2,y) the smallest positive integer such that 2^x == 1 mod y (the multiplicative order of 2 mod y). 2

%I #11 Feb 24 2021 03:55:24

%S 1,1,1,1,1,2,1,1,1,1,1,2,1,1,3,1,1,1,2,2,3,1,1,1,1,3,1,2,1,1,1,2,1,1,

%T 2,1,1,3,2,4,2,1,1,1,1,1,1,1,4,2,2,1,1,1,1,1,1,1,1,2,3,2,1,4,3,1,2,1,

%U 1,9,2,1,1,1,1,2,1,1,1,1,1,2,1,2,5,1,3,3,1,2,1,2,2,1,1,8,1,1,1,6

%N lambda(y)/x, where y an odd squarefree semiprime and x = ord(2,y) the smallest positive integer such that 2^x == 1 mod y (the multiplicative order of 2 mod y).

%H Vassilis Papadimitriou, <a href="/A174435/b174435.txt">Table of n, a(n) for n=1,...,10000</a>.

%F Equals lambda(A046388)/ord(2, A046388), or lambda(A046388)/A174240.

%F a(n) = A002322(A046388(n))/A002326((A046388(n)+1)/2). - _Amiram Eldar_, Feb 24 2021

%e For n=1 the a(1)= 1, as the first odd squarefree semiprime is 15, lambda(15)=4 and ord(2,15)=4

%t (CarmichaelLambda[#]/MultiplicativeOrder[2, #]) & /@ Select[Range[1, 530, 2], PrimeOmega[#] == 2 && PrimeNu[#] == 2 &] (* _Amiram Eldar_, Feb 24 2021 *)

%Y Cf. A002322, A002326, A046388, A174240.

%K nonn

%O 1,6

%A _Vassilis Papadimitriou_, Mar 19 2010

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 August 23 21:15 EDT 2024. Contains 375396 sequences. (Running on oeis4.)