Sequence to consider

[T. D. Noe]

At 10:19 AM -0700 9/30/06, T. D. Noe wrote:
>>Smallest odd number A such that sigma(x)=A has n solutions.
>>
>>So:  sigma(16)=31 and sigma(25)=31.
>>
>
>I think the sequence begins 1, 31, 347529, 10773399
>
>The 3 numbers with sigma(k)=347529 are 164836, 203522, 239121
>
>The 4 numbers with sigma(k)=10773399 are 3825936, 4120900, 5088050, 5978025

More terms:

1, 31, 347529, 10773399, 4104665019, 77253471477, 28732655133

Tony