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!)
A061860 Variant of A061417. 2
1, 2, 4, 11, 28, 152, 726, 5268, 40438, 365944, 3628810, 39974466, 479001612, 6228256404, 87178339984, 1307706805928, 20922789888016, 355688409760972, 6402373705728018, 121645133931170028, 2432902008232456692 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Does this count some variety of necklaces?
LINKS
FORMULA
a(n) = (1/n)*Sum_{d|n} phi(n/d)*C(n, d)*(d!).
MAPLE
[seq(A061860(j), j=1..40)]; with(numtheory); A061860 := proc(n) local d, s; s := 0; for d in divisors(n) do s := s + phi(n/d)*(binomial(n, d))*(d!); od; RETURN(s/n); end;
MATHEMATICA
a[n_] := DivisorSum[n, EulerPhi[n/#] Binomial[n, #] (#!)&]/n; Array[a, 25] (* Jean-François Alcover, Mar 06 2016 *)
CROSSREFS
A061860[p] = A061417[p] = (p-1)!+(p-1) for all prime p's.
Sequence in context: A005503 A148139 A336871 * A093960 A267912 A118311
KEYWORD
nonn
AUTHOR
Antti Karttunen, May 11 2001
STATUS
approved

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 July 18 21:02 EDT 2024. Contains 374388 sequences. (Running on oeis4.)