More on A103930(n)/A103931(n) (squares of harmonic numbers H(n)):


The rationals H(n)^2 are (in lowest terms), for n=1..30:

[1, 9/4, 121/36, 625/144, 18769/3600, 2401/400, 131769/19600, 579121/78400, 50822641/6350400, 

54479161/6350400, 7007531521/768398400, 7399612441/768398400, 1313299956049/129859329600, 

1372958223289/129859329600, 1429834803049/129859329600, 5936819760481/519437318400, 

1775966959381729/150117385017600, 203755669038601/16679709446400, 75787776947048401/6021375110150400, 

3117562300468225/240855004406016, 355626162950809/26761667156224, 364550171680809/26761667156224, 

197417329010256601/14156921925642496, 1816626718024932025/127412297330782464, 

1159574286365539766089/79632685831739040000, 1183067086097890299289/79632685831739040000, 

97678908816082721512009/6450247552370862240000, 99480054701070430743409/6450247552370862240000, 

85138387323299007120663769/5424658191543895143840000, 86577122569632385652041609/5424658191543895143840000]

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