d(sigma(n)) = sigma(d(n))

[Jud McCranie]

At 02:45 PM 1/24/2006, Leroy Quet wrote:
>Is the sequence of n's such that d(sigma(n)) = sigma(d(n)) in the EIS?
>
>d(n) is the number of divisors of n. sigma(n) is the sum of the divisors
>of n.
>
>In other words, the sequence I wonder about is those n's such that
>A062068(n) = A062069(n).
>
>It begins 1,3,...
>(And 49, for example, is in there too, because d(sigma(49)) = d(57) = 4,
>and sigma(d(49)) = sigma(3) = 4.)

I don't think it is in there.  I get:

1,3,44,49,66,68,70,76,99,121,124,147,153,164,169,170,171,172,243,245,268,275,279,361,363,387,425,475,507,529,564,603,620,644,652,724,775,841,844,845,873,891,927,948,961,964,1075,1083,1132,1324,1348,1377,1395,1449,1467,1539,1573,1587,1629,1675,1732,1740,1805,1813,1824,1836,1849,1899,2092,2169,2188,2209,2308,2404,2425,2511,2523,2547,2738,2764,2809,2883,2884,2979,3132,3148,3179,3252,3384,3412,3525,3627,3628,3654,3748,3762,3776,4025,4075,4084,4128,4204,4228,4404,4428,4477,4492,4524,4544,4588,4640,4684,4707,4805,4872,4923,4940,4968,