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!)
A224866 Numbers of the form m*rad(m)+1, where rad = A007947 (squarefree kernel). 5

%I #15 Jul 31 2022 07:45:54

%S 2,5,9,10,17,26,28,33,37,50,65,73,82,101,109,122,126,129,145,170,197,

%T 201,217,226,244,257,289,290,325,344,362,393,401,433,442,485,501,513,

%U 530,577,626,649,676,677,730,785,801,842,865,901,962,969,973,1001

%N Numbers of the form m*rad(m)+1, where rad = A007947 (squarefree kernel).

%C A078310 in natural order.

%H Reinhard Zumkeller, <a href="/A224866/b224866.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A001694(n) + 1.

%t powQ[n_] := n == 1 || AllTrue[FactorInteger[n][[;; , 2]], # > 1 &]; Select[Range[1001], powQ[# - 1] &] (* _Amiram Eldar_, Jul 31 2022 *)

%o (Haskell)

%o a224866 n = a224866_list !! (n-1)

%o a224866_list = [x | x <- [2..] , let x' = x - 1, let k = a007947 x',

%o let (y,m) = divMod x' k, m == 0, a007947 y == k]

%o (PARI) is(n) = n>1 && ispowerful(n-1) \\ _Charles R Greathouse IV_, Aug 08 2013, corrected by _Amiram Eldar_, Jul 31 2022

%Y Subsequences: A078325, A078324.

%Y Cf. A001694, A078310, A007947.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jul 23 2013

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 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)