[seqfan] There are a(n) terms between a(n) and the closest a(n)+1

[Eric Angelini]

Hello SeqFans,
Do you think the herunder sequence is worth entering the OEIS?
There are a(n) terms between a(n) and the closest a(n)+1
0,1,0,2,0,1,3,1,0,2,4,2,0,1,3,5,3,1,0,2,4,6,4,2,0,1,3,5,7,5,3,1,0,2,4,6,8,6,4,2,0,1,3,5,7,9,7,5,3,1,0,2,4,6,8,10,8,6,4,2,0,1,3,5,7,9,11,9,...
The pattern is obvious.
If you don't want the sequence to decrease, yo'll get https://oeis.org/A003056
Best,
É.