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!)
 A329034 Möbius transform of A122111. 2
 1, 1, 3, 1, 7, 1, 15, 2, 5, 3, 31, 3, 63, 7, 7, 2, 127, 4, 255, 7, 17, 15, 511, 2, 19, 31, 16, 15, 1023, 7, 2047, 4, 37, 63, 31, 2, 4095, 127, 77, 6, 8191, 15, 16383, 31, 27, 255, 32767, 6, 65, 14, 157, 63, 65535, 4, 69, 14, 317, 511, 131071, 1, 262143, 1023, 59, 2, 145, 31, 524287, 127, 637, 25, 1048575, 8, 2097151, 2047, 38, 255, 115, 63 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a(144) = -2 is the first negative term. LINKS Antti Karttunen, Table of n, a(n) for n = 1..4096 FORMULA a(n) = Sum_{d|n} A008683(n/d)*A122111(d). PROG (PARI) A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)}; A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n))); A329034(n) = sumdiv(n, d, moebius(n/d)*A122111(d)); CROSSREFS Cf. A008683, A122111, A329035. Cf. also A297112. Sequence in context: A205479 A094024 A297172 * A290678 A290422 A278954 Adjacent sequences:  A329031 A329032 A329033 * A329035 A329036 A329037 KEYWORD sign AUTHOR Antti Karttunen, Nov 08 2019 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 February 21 20:35 EST 2020. Contains 332111 sequences. (Running on oeis4.)