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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A328958 a(n) = sigma_0(n) - omega(n) * nu(n), where sigma_0 = A000005, nu = A001221, omega = A001222. 12
1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, 1, 2, 1, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,72

LINKS

Table of n, a(n) for n=1..85.

FORMULA

a(n) = A000005(n) - A001222(n) * A001221(n).

EXAMPLE

a(144) = sigma_0(144) - omega(144) * nu(144) = 15 - 6 * 2 = 3.

MATHEMATICA

Table[DivisorSigma[0, n]-PrimeOmega[n]*PrimeNu[n], {n, 100}]

CROSSREFS

Positions of first appearances are A328962.

Zeros are A328956.

Nonzeros are A328957.

omega(n) * nu(n) is A113901(n).

(omega(n) - 1) * nu(n) is A307409(n).

sigma_0(n) - 2 - (omega(n) - 1) * nu(n) is A328959(n).

Cf. A000005, A001221, A001222, A112798, A124010, A323023, A328960, A328961, A328963, A328964.

Sequence in context: A068933 A015472 A049816 * A143542 A072612 A116378

Adjacent sequences:  A328955 A328956 A328957 * A328959 A328960 A328961

KEYWORD

sign

AUTHOR

Gus Wiseman, Nov 02 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 27 09:47 EDT 2021. Contains 346304 sequences. (Running on oeis4.)