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Category: | Series |

Submitted By: | javaguru |

Fun: | (2.03) |

Difficulty: | (3.09) |

What 5-digit number completes the series:

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

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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