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## Question

What next?

1 , 2 , 4 , 13 , 31 , 112 ?

## 3 answers to this question

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The base-10 sequence 1, 2, 4, 8, 16, 32, 64, 128, ...

written in base 5 is 1, 2, 4, 13, 31, 112, 224, 1003, ....

This might be an even trickier riddle if you include the 224 term and ask for the 1003 term.

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The base-10 sequence 1, 2, 4, 8, 16, 32, 64, 128, ...

written in base 5 is 1, 2, 4, 13, 31, 112, 224, 1003, ....

This might be an even trickier riddle if you include the 224 term and ask for the 1003 term.

I agree my solution is not so elegant .. but how about ..

418

if we design a floor function [y] as:

[y] = 0.4667x^5 - 7.1667x^4 + 42.333x^3 - 116.33x^2 + 146.7x - 65

Then y satisfies all the numbers for x= 1 to 6 and then for x=7 => y=418

But I totally agree that Bonanova's solution is way elegant than mine

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thnanx for such a nice solution i am impressed

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