# Transmission tower

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A **Transmission Tower** is a type of location in *No Man's Sky*. A distress signal of an abandoned ship will be detected after solving the puzzle at a Transmission Tower operations terminal. A Transmission Tower can be located with a signal scanner by searching for "Transmissions" until a Transmission Tower is detected.

## Puzzle guide

The Transmission Tower operations terminal will always provide a sequence of integers. To solve the puzzle, find the mathematical formula that, with the input of the first number, gives the second number, and so on. This form of puzzle uses sequences defined by recursion.

For example, the following information is given at a Transmission Tower: `1 - 2 - 6 - 24 - 120 - XXX`

. The answer for `XXX`

is *720*, because *1 * 2 = 2*, *2 * 3 = 6*, *6 * 4 = 24*, *24 * 5 = 120*, and *120 * 6 = 720*. In other words, `a`

; the multiplicand is the previous number in the series, and the multiplier is equal to the numbers' position in the series.
_{n} = a_{n-1} * n

## Puzzle solutions

```
```

```
```- 1 - 2 - 6 - 24 - 120 - (
*720*)
- 1 - 3 - 4 - 7 - 11 - 18 - (
*29*)
- 1 - 5 - 3 - 7 - 5 - 9 - (
*7*)
- 2 - 4 - 12 - 48 - 240 - (
*1440*)
- 3 - 5 - 8 - 13 - 21 - (
*34*)
- 5 - 14 - 41 - 122 - (
*365*)
- 17 - 33 - 65 - 129 - (
*257*)
- 23 - 45 - 89 - 177 - (
*353*)
- 56 - 59 - 63 - 68 - 74 - (
*81*)
- 80 - 71 - 63 - 56 - (
*50*)
- 99 - 92 - 86 - 81 - (
*77*)
- 5040 - 720 - 120 - 24 - (
*6*)

```
```