It's my first shot at tabbing so it may be out, but it's closer than anything else I've seen.
Listen to it for the timing. I'm pretty sure he uses a pick and strums the open/16.
G ¦---------------------------------16--16--16--16--16--16--16--16----II
D ¦--0---0---0---0---0---0---0---0---0---0---0---0---0---0---0---0----II x
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A ¦---------5--5--5--5--5--5--5--5--5--5--5--5--5--5--5--5------------II 2
E --------------------------------------------------------------------II
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G ¦---------------------------------16--16--16--16--16--16--16--16----II
D ¦--0---0---0---0---0---0---0---0---0---0---0---0---0---0---0---0----II x
A ¦-------------------------------------------------------------------II 2
E ¦-------------------------------------------------------------------II
[ Tab from: https://www.guitartabs.cc/tabs/k/kings_of_leon/bucket_btab_ver_5.html ]
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A ¦--------5--5--5--5--5--5--5--5--5--5--5--5--5--5--5--5-------------II 8
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A ¦-------------------------------------------------------------------II 1
E ¦--------3-----------------------------5----------------------------II
G ¦-------------------------------------------------------------------II
D ¦-------------------------------------------------------------------II x
A ¦--------5--5--5--5--5--5--5--5--5--5--5--5--5--5--5--5-------------II 2
E ¦-------------------------------------------------------------------II
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A ¦-------------------------------------------------------------------II 1
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G ¦---------------------------------16--16--16--16--16--16--16--16----II
D ¦--0---0---0---0---0---0---0---0---0---0---0---0---0---0---0---0----II x
A ¦-------------------------------------------------------------------II 6
E ¦-------------------------------------------------------------------II
G ¦-------------------------------------------------------------------II
D ¦-------------------------------------------------------------------II x
A ¦--------5--5--5--5--5--5--5--5--5--5--5--5--5--5--5--5-------------II 4
E ¦-------------------------------------------------------------------II
G ¦-------------------------------------------------------------------II
D ¦----------------------------------------------7--------------------II x
A ¦-------------------------------------------5/9----9h7--5-----------II 1
E ¦--------3-----------------------------5----------------------------II
/ = Slide
H = Hammer On