
EXAMPLE

For n=2, the seq. is 1, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, ..., ; which cycles every 3 terms;
for n=3, the seq. is 1, 2, 3, 5, 11, 5, 11, 5, 11, 5, 11, 5, ... ; which cycles every 2 terms;
for n=4, the seq. is 1, 2, 3, 5, 11, 31, 47, 47, 47, ..., ; which cycles every term;
for n=5, the seq. is 1, 2, 3, 5, 11, 31, 127, 127, 127, ..., ; which cycles every term;
for n=6, the seq. is 1, 2, 3, 5, 11, 31, 127, 307, 233, 179, 233, 179, 233, ..., ; which cycles every 2 terms;
for n=7, the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 347, 467, 431, 211, 431, 211, 431, ..., ; which cycles every 2 terms;
for n=8, the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 1201, 1051, 103, 563, 233, 1471, 1153, 727, 1319, 167, 991, 1409, 727, 1319, 167, 991, 1409, ..., ; which cycles every 5 terms;
for n=9, the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 1201, 1051, 103, 563, 233, 1471, 3163, 467, 3319, 1567, 127, 709, 1201, 1051, 103, 563, 233, 1471, 3163, 467, 3319, 1567, 127, ..., ; which cycles every 12 terms;
for n=10, the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 5381, 1663, 4733, 4723, 4643, 3943, 6763, 4567, 3343, 1741, 5431, 2063, 47, 211, 1297, 1753, 5519, 2731, 5107, 8039, 6763, 4567, 3343, 1741, 5431, 2063, 47, 211, 1297, 1753, 5519, 2731, 5107, 8039, 6763, ..., ; which cycles every 14 terms;
for n=11, the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 5381, 10501, 1663, 14107, 15601, 10313, 367, 2477, 2971, 7219, 8629, 3049, 7927, 15271, 7333, 9629, 11981, 14867, 3823, 15199, 6691, 3943, 16339, 17417, 8233, 179, 1063, 8527, 2251, 1237, 10079, 16231, 16339, 17417, 8233, 179, 1063, 8527, 2251, 1237, 10079, 16231, 16339, 17417, 8233, 179, 1063, 8527, 2251, 1237, 10079, 16231, 16339, 17417, 8233, 179, 1063, 8527, 2251, 1237, 10079, 16231, 16339; which cycles every 10 terms;
... as n> inf. the seq. is 1, 2, 3, 5, 11, 31, 127, 709, 5381, 52711, 648391, ..., .
