The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A370494 Oblong numbers of the form (k-1)*k where k is the product of an odd number of distinct primes. 2

%I #7 Feb 20 2024 10:44:39

%S 2,6,20,42,110,156,272,342,506,812,870,930,1332,1640,1722,1806,2162,

%T 2756,3422,3660,4290,4422,4830,4970,5256,6006,6162,6806,7832,9312,

%U 10100,10302,10506,10920,11342,11772,11990,12656,12882,16002,16770,17030,18632,18906,19182

%N Oblong numbers of the form (k-1)*k where k is the product of an odd number of distinct primes.

%H Amiram Eldar, <a href="/A370494/b370494.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A002378(A030059(n)-1).

%F Sum_{n>=1} 1/a(n) = (A368250 + A033150 - 1)/2 = 0.776922504035... .

%t Table[n*(n - 1), {n, Select[Range[150], MoebiusMu[#] == -1 &]}]

%o (PARI) lista(kmax) = forsquarefree(k=1, kmax, if(moebius(k) == -1, print1(k[1]*(k[1]-1), ", ")));

%Y Complement of A370495 within A368249.

%Y Cf. A002378, A030059, A033150, A368250.

%K nonn,easy

%O 1,1

%A _Amiram Eldar_, Feb 20 2024

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 May 17 17:07 EDT 2024. Contains 372603 sequences. (Running on oeis4.)