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A328956 Numbers n such that sigma_0(n) = omega(n) * nu(n), where sigma_0 = A000005, nu = A001221, omega = A001222. 12
6, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 28, 33, 34, 35, 38, 39, 40, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 65, 68, 69, 74, 75, 76, 77, 80, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 104, 106, 111, 112, 115, 116, 117 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

First differs from A084227 in having 60.

LINKS

Table of n, a(n) for n=1..63.

FORMULA

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

EXAMPLE

The sequence of terms together with their prime indices begins:

   6: {1,2}

  10: {1,3}

  12: {1,1,2}

  14: {1,4}

  15: {2,3}

  18: {1,2,2}

  20: {1,1,3}

  21: {2,4}

  22: {1,5}

  24: {1,1,1,2}

  26: {1,6}

  28: {1,1,4}

  33: {2,5}

  34: {1,7}

  35: {3,4}

  38: {1,8}

  39: {2,6}

  40: {1,1,1,3}

  44: {1,1,5}

  45: {2,2,3}

MATHEMATICA

Select[Range[100], DivisorSigma[0, #]==PrimeOmega[#]*PrimeNu[#]&]

CROSSREFS

Zeros of A328958.

The complement is A328957.

Prime signature is A124010.

Omega-sequence is A323023.

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

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

sigma_0(n) - omega(n) * nu(n) is A328958(n).

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

Cf. A000040, A005117, A060687, A070175, A090858, A112798, A303555, A320632, A328960, A328961, A328962, A328963, A328964, A328965.

Sequence in context: A267114 A275665 A056760 * A084227 A299992 A237051

Adjacent sequences:  A328953 A328954 A328955 * A328957 A328958 A328959

KEYWORD

nonn

AUTHOR

Gus Wiseman, Nov 01 2019

STATUS

approved

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Last modified January 25 16:42 EST 2020. Contains 331245 sequences. (Running on oeis4.)