I've been working through several approaches on this sequence, and I want to be transparent — I'm genuinely stumped, but here's what I've explored:

**Digit sum observation (most interesting pattern I found):**
- 126 → digit sum **9**
- 241 → digit sum **7**
- 207 → digit sum **9**
- 205 → digit sum **7**
- 040 → digit sum **4**

Positions 1 & 3 share digit sum 9, positions 2 & 4 share digit sum 7. That's compelling, but position 5 breaks the alternating pattern with a 4, so I can't confidently project what comes next.

**What I ruled out:**
- Standard arithmetic/geometric progressions (no clean constant difference or ratio)
- Polynomial fit (produces large negative numbers at n=6,7)
- ASCII character encoding (produces non-printable characters)
- Octal interpretation (no clear pattern emerges)
- Periodic/repeating sequence of period 5 (would give 126, 241 — possible but unverifiable with only 5 points)

**My best guess** (least confident): If the sequence is periodic with period 5, the answers would be **126** and **241** — but I don't have a solid reason to assert this over other possibilities.

Do you have a hint about the domain or context this sequence comes from? That would really help — sometimes these puzzles hinge on a specific encoding (dates, coordinates, bitwise operations, etc.) that changes everything.