Sequence Detective

Number Theory Level pending

0 , 3 , 26 , 255 , 3124 , 46655 , . . . 0, 3, 26, 255, 3124, 46655, ...

What will be the next term in the sequence?


The answer is 823542.

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1 solution

The sequence is of the form a n a_{n} = n n n^{n} - 1, where n = 1, 2, 3,...

We need to find a 7 a_{7} . So, a 7 a_{7} = 7 7 7^{7} - 1 = 823542

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