Braingle Lite



0-1-1-2-10-_____-100903245677250689568

Category:Series
Submitted By:javaguru
Fun:** (2.07)
Difficulty:*** (3.1)



What 5-digit number completes the series:

0-1-1-2-10-_____-100903245677250689568

Answer:

10018

The first term 0 is arbitrary. If the terms are numbered starting at 1, then the nth term is the sum of each of the previous n-1 terms raised to the n-2 power.

0 = 0
1 = 0^0
1 = 0^1 + 1^1
2 = 0^2 + 1^2 + 1^2
10 = 0^3 + 1^3 + 1^3 + 2^3
10018 = 0^4 + 1^4 + 1^4 + 2^4 + 10^4

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