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a(1)=1; a(n) = 1 + abs(prime(n) - a(n-1)).
0

%I #11 Dec 05 2022 05:50:40

%S 1,3,3,5,7,7,11,9,15,15,17,21,21,23,25,29,31,31,37,35,39,41,43,47,51,

%T 51,53,55,55,59,69,63,75,65,85,67,91,73,95,79,101,81,111,83,115,85,

%U 127,97,131,99,135,105,137,115,143,121,149,123,155,127,157,137,171,141,173,145

%N a(1)=1; a(n) = 1 + abs(prime(n) - a(n-1)).

%t nxt[{n_,a_}]:={n+1,1+Abs[Prime[n+1]-a]}; NestList[nxt,{1,1},70][[All,2]] (* _Harvey P. Dale_, Jan 11 2019 *)

%K nonn

%O 1,2

%A _Roger L. Bagula_, Sep 24 2003