That is usually indicative of a failed power supply inside the TV.
Check for an external fuse, make sure the power to the TV is working (circuit breaker?).
Probably time to take it to the TV repair shop.
Those parts are rarely available outside of Sharp.
Oh, hey, look what I found:
sharp tv Lc 60le845u power supply in TV Boards Parts and Components eBay
If you are a big DIY person, you could take the PS board out of the TV, get the part number off it, and see if you can find one for sale here. Which MIGHT fix your TV.
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