A curious series

Level pending

What number comes next in the following series?

1, 11, 36, 121, 236, 426, 1000, 1331, 2061, ...


The answer is 2626.

Geoff Pilling by Geoff Pilling , 53, USA

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1 solution

Geoff Pilling
Oct 6, 2016

These are the cubed numbers, n 3 n^3 , in base 7 7 .

The next number in the sequence is 1 0 3 = 1000 = 262 6 7 10^3 = 1000 = \boxed{2626_7}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Are you really into computer mathematics? No one outside this field will get this one, including me!

William Nathanael Supriadi - 4 years, 8 months ago

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