[seqfan] Two Sequences

[Ali Sada]

 Hi Everyone,
I want to suggest the two related sequences below and I would appreciate any help and feedback. 

I gave the editors a lot of trouble when I added sequences earlier. English is not my first language and I am not familiar with many of the terms and notations. Also, I use VBA/Excel (based on old knowledge of GW BASIC) which is not a good way to present a code for OEIS. For those reasons, I would be thankful it if someone could collaborate with me to upload these sequences.
The first sequence is 1, 66, 6, 12, 8220, 20, 420,213080, 17965080, 153720, 210951720, 14109480, 31766925960,....
A(n) is the least integer that when multiplied by the harmonic number sum of n generates a square number (M*M.)
H(1)=1, A(1)=1, M(1)=1
H(2)=3/2, A(2)=6, M(2)=3 ((6*3/2)^0.5)
H(3)=11/6, A(3)=66, M(3)=11 ((66*11/6)^0.5)
H(4)=25/12, A(4)=12, M(4)=5 ((12*25/12)^0.5)
And so on.
The second sequence is M itself. 
1, 3, 11, 5, 137, 7, 33, 761, 7129, 671, 83771, 6617,....
I searched OEIS and found that this sequence is related to A120299 (Largest prime factor of Stirling numbers of first kind s(n,2) A000254.)  A120299 also represents the largest prime factor of M, except for M(1.)

I would really appreciate any feedback and support.
Best,
Ali Sada