Greedy Dragons

[Hans Havermann]

A065186

Sequence:  
1,3,5,2,4,6,8,10,7,9,11,13,15,12,14,16,18,20,17,19,21,23,25,22,24,26,28, 
30,27,29,31,33,35,32,34,36,38,40,37,39,41,43,45,42,44,46,48,50,47,49,51, 
53,55,52,54,56,58,60,57,59,61,63,65,62,64,66,68,70,67,69,71,73

Name: "Greedy Dragons" permutation of the natural numbers

A very complex description (comment), and formula... Isn't this  
sequence just the smallest positive integer not already in sequence  
with the absolute value of a(n)-a(n-1) prime? Cf. A055265.