The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A340190 Möbius transform of A063994(x) = Product_{primes p dividing x} gcd(p-1, x-1). 4
 1, 0, 1, 0, 3, -1, 5, 0, 0, -3, 9, 0, 11, -5, -1, 0, 15, 0, 17, 0, -3, -9, 21, 0, 0, -11, 0, 2, 27, 1, 29, 0, -7, -15, -5, 0, 35, -17, -9, 0, 39, 3, 41, 0, 4, -21, 45, 0, 0, 0, -13, 2, 51, 0, -9, -2, -15, -27, 57, 0, 59, -29, 0, 0, 1, 11, 65, 0, -19, 7, 69, 0, 71, -35, 0, 2, -11, 9, 77, 0, 0, -39, 81, -2, -3, -41, -25 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Antti Karttunen, Table of n, a(n) for n = 1..8191 Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537 FORMULA a(n) = Sum_{d|n} A008683(n/d) * A063994(d). a(n) = A063994(n) - A340191(n). PROG (PARI) A063994(n) = { my(f=factor(n)); prod(i=1, #f~, gcd(f[i, 1]-1, n-1)); }; A340190(n) = sumdiv(n, d, moebius(n/d)*A063994(d)); CROSSREFS Cf. A008683, A063994, A340191. Cf. also A007431, A340143, A340146, A340192. Sequence in context: A272473 A125846 A318382 * A143677 A249150 A143467 Adjacent sequences:  A340187 A340188 A340189 * A340191 A340192 A340193 KEYWORD sign AUTHOR Antti Karttunen, Dec 31 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 16 10:17 EDT 2021. Contains 345056 sequences. (Running on oeis4.)