The Jacobsthal-Lucas sequence is formed with the formula

The first numbers are
2,
1,
5,
7,
17,
31,
65,
127,
257,
511,
1025,
2047,
4097,
8191,
16385,
32767,
65537,
131071,
262145,
524287,
1048577,
2097151,
4194305,
8388607,
16777217,
33554431,
67108865,
134217727,
268435457,
536870911,
1073741825,
2147483647,
4294967297,
8589934591