Who Gets the Money!?

Who doesn’t get happy after getting money in the pockets of clothes before washing them? During this pandemic, Jenia washes clothes at home as they don’t keep a maid as outsiders are not allowed at home to avoid risk. Even though Jenia gets the money while washing, but she and her siblings end up in a fight while claiming the money. Jenia has twin siblings, Umair and Zuaina. Since school is closed so her siblings don’t study at all. Thus Jenia thought of a game to avoid the chaos for money as well as make her siblings practice mathematics. It’s a game where the twin will compete jenia as a team. So she gave the twins $N$ pieces of paper and asked them to write positive odd numbers sequentially but following a rule. The rule is :

This is a companion discussion topic for the original entry at https://toph.co/p/who-gets-the-money