0-1-1-2-10-_____-100903245677250689568Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.
What 5-digit number completes the series:
HintThere is not a universally agreed definition of 0^0 (zero raised to the 0 power). This series relies on the most common definition:
0^0 = 1
Without this definition the series can't start with zero. Starting the series with 1 yields:
for the first six terms. The 7th term in this case has 48 digits starting with a 1 and ending with an 8.
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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