The train in Escape the Night Train has nine carriages, five chambers each, and it runs forward from the Observation Car to the driver's cab. Its new lock is Carriage Lamps: a lamp at the end of a row shows the total of every brick in that row. Every brick is still the sum of the two below it.
A row total is a free clue
A lamp gives you a sum for a whole row, so one missing brick in that row simply falls out. Here is a made-up example in the spirit of the lock.
A lamp on the bottom row
The bottom row has 4, a missing brick and 8. The lamp at the end of the row shows 19, the total of the whole row.
Take away what you know
19 − 4 − 8 = 7. The missing brick is 7.
Climb
4 + 7 = 11 and 7 + 8 = 15.
Reach the top
11 + 15 = 26. The door brick says 26.
A check you can use
Here is a little fact that lets you check a lamp: the total of a row is always twice the total of the row below, minus the first and last bricks of that lower row. In our example, 2 × 19 − 4 − 8 = 26, and the row above does total 11 + 15 = 26. If your numbers do not fit, something is off.
That works because each brick of the lower row is counted in two bricks above it, except the two on the ends, which are counted once.
More about the book
The book ends with a meta-puzzle, the Lamp Board, a six-row board of lamps with six lantern slots. The story is about the conductor's keys and a barn owl called Wink who has a nest in the cab.
How a page looks in the book

A low-resolution page from Escape the Night Train, so you can see the layout. Nothing on it is solved.
Books mentioned

Escape the Night Train
A puzzle adventure gamebook: cross nine locked carriages to the pyramids by dawn, with 12 kinds of lock. Carriage Lamps is one of them, so the book is not all lamps.
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More field notes

The Odd-Even Check: Spot a Mistake in Five Seconds
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The Pi Bakery Mix-Up: A Pi Day Escape Room Where the Slices Must Add Up to 100
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Cipher Wheel Gift Hunt: How a Present Becomes a Puzzle Trail
Solve a puzzle, set a cut-out wheel, decode where the next clue hides. Here is how the Cipher Wheel Gift Hunt works, with its 15-second video.

The Top-Brick Shortcut: Why 1, 3, 3, 1 Makes Pyramids Easy
Skip the middle rows. In a four-row pyramid the top is 1, 3, 3 and 1 times the bottom bricks. Why it works, and how to use it.

Sonar Echoes: The Buoy Lock That Gives You the Gap
In Escape the Sunken Pyramid some bricks carry a sonar buoy that shows the gap between two bricks. How to use a gap and a sum together.

Anaconda Bend: Build a Paper Snake 4 Metres Long, Then Measure With Her
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Ink-Blot Pyramids: Find the Digit Under the Ink
Every brick is printed, but ink has covered some of the digits. A worked sample, a 20-second video and a pyramid to try yourself, with the one rule you need to read the hidden digits.

How a Puzzle Adventure Gamebook Works (and Why You Don't Read It in Order)
Solve the puzzle, read the door brick, turn to that page. Here is the whole game of a puzzle adventure gamebook in three moves, with a worked example.

Tool Doors: How the Inventory Works in Escape the Giant's Castle
Six castle mice lend you numbered tools, and some doors open only when you add a tool's number. Learn the new rule with a drawn, step-by-step example.

Better Ways to Learn Addition and Subtraction
Flashcards have their place, but understanding comes first. Five friendly strategies, drawn step by step, plus how puzzles make the practice stick.

How to Solve a Number Pyramid, Step by Step
Two moves are all you need: add up and subtract down. Follow one real puzzle from the first brick to the top, with every step drawn.
