Find Formula for 0, 1, 1, 2, 2, 3, 3, 4, 4...

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Find a formula for the givin sequence:

0, 1 , 1 , 2 , 2 , 3 ,3 ,4 ,4 ...


thanks. any help would be appreciated.
 
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a_{2n} = a_{2n-2} + 1
a_{2n+1} = a_{2n-1} + 1
a_0 = 0
a_1 = 1

cookiemonster
 
Or a_n = floor( (n + 1)/2 ), n >= 0.
 

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