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!)
A146288 Number of divisors of the n-th prime signature number (A025487(n)). 6

%I #9 May 28 2017 07:23:14

%S 1,2,3,4,4,6,5,8,8,6,9,10,12,7,12,12,16,8,15,18,14,16,16,20,9,18,24,

%T 16,24,20,24,10,21,30,18,32,24,27,28,11,32,24,36,25,36,20,40,28,36,32,

%U 12,40,27,32,48,30,42,22,48,32,45,36,13,48,30,48,60,35,48,48,24,54,50,56

%N Number of divisors of the n-th prime signature number (A025487(n)).

%H Reinhard Zumkeller, <a href="/A146288/b146288.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000005(A025487(n)).

%F If A025487(n)'s canonical factorization into prime powers is Product p^e(p), then a(n) = Product (e(p) + 1).

%e a(4)=4 because 4 positive integers divide evenly into A025487(4)=6: 1, 2, 3 and 6.

%o (Haskell)

%o a146288 = a000005 . a025487 -- _Reinhard Zumkeller_, Sep 17 2014

%Y For the number of divisors of n, see A000005.

%Y a(n) = sum of the n-th row of A146290, A146292.

%Y A rearrangement of A080444.

%K nonn

%O 1,2

%A _Matthew Vandermast_, Nov 11 2008

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 14 03:59 EDT 2024. Contains 372528 sequences. (Running on oeis4.)