Strings of sixty white LEDs in series will take about 180 Volts. What has to be considered on connecting them directly to 120VAC/180V peak ? No resistor, no capacitor, no rectification.
Two strings in counterparallel, conservatively driven for Vf =3, thus under its rated recommended current aiming for longevity.
Thermal, spikes, failures, safety...

 

I am sorry, though this is an interesting topic, we are not allowed to discuss LEDs connected directly to the power mains.
From the User Agreement,
http://www.allaboutcircuits.com/user-agreement/:

Restricted topics. The following topics are regularly raised however are considered "off-topic" at all times and will result in Your thread being closed without question:

• Any kind of over-unity devices and systems
• Devices designed to electrocute or shock another person
• LEDs to mains
• Phone jammers
• Rail guns and high-energy projectile devices
• Transformer-less power supplies

A forum that supports discussion of LEDs connected to the mains is Electro-Tech Online