OFFSET
1,2
COMMENTS
This sequence seems likely to be a permutation of the positive integers. It will be if every positive number appears in A004648 (cf. A127149, A127150).
If this is a permutation of the positive integers, then A249678 is the inverse permutation. - M. F. Hasler, Nov 03 2014
LINKS
Ferenc Adorjan, Table of n,a(n) for n=1,10000
Ferenc Adorjan, Some characteristics of _Leroy Quet_'s permutation sequences
MATHEMATICA
f[l_List] := Block[{n = Length[l] + 1, k = Mod[Prime[n], n, 1]}, While[MemberQ[l, k], k += n]; Append[l, k]]; Nest[f, {1}, 70] (* Ray Chandler, Feb 04 2007 *)
PROG
(PARI) {Quet_p3(n)= /* Permutation sequence a'la Leroy Quet, A125718 */local(x=[1], k=0, w=1); for(i=2, n, if((k=prime(i)%i)==0, k=i); while(bittest(w, k-1)>0, k+=i); x=concat(x, k); w+=2^(k-1)); return(x)}
(PARI) A125718(n, show=0, u=1)={for(n=1, n, p=prime(n)%n; while(bittest(u, p), p+=n); u+=1<<p; show&&print1(p", ")/*a=concat(a, p)*/); p} \\ M. F. Hasler, Nov 03 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Feb 01 2007
EXTENSIONS
Extended by Ray Chandler, Feb 04 2007
STATUS
approved