Egyptian Fractions Of Harmonic Numbers

[Leroy Quet]

If I did not err, the Egptian fraction representations of sum{k=1 to 
n}1/k, as found by the Greedy algorithm, forms the table:

(denominators given.)

1
1, 2
1, 2, 3
1, 1, 12
1, 1, 4, 30
1, 1, 3, 9,180

The concatenation of the table in a sequence (1,1,2,1,2,3,1,1,12,...) is 
not before in the EIS. I have submitted it as A106394.

The nth row has b(n) terms.
1, 2, 3, 3, 4, 5,...
Is this in the EIS?
I have not submitted this to the EIS in case it already exists under a 
different name.


And the sum of the terms of the nth row forms c(n).
1, 3, 6, 14, 36, 194,...
Not before in the EIS.
I have submitted it as A106395.

Could someone compute and submit more terms for these?

thanks,
Leroy Quet