Sequence Challenge – SOLVED!

After 19 days and 55 rule guesses, the sequence challenge was SOLVED on Saturday morning.

The not-so-fabulous mystery prize will be revealed tomorrow. The image is a clue to its identity.

UPDATE: The mystery prize is now revealed at the bottom of the solution page.
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Introducing a new sequence challenge

OK, so today I’m unveiling a new maths puzzle that, all being well, will run every day until someone discovers the solution. There is even a (very modest) ‘mystery prize’, which I will send to the winner (provided that they do not live somewhere so remote that the postage charges would be ridiculous).

The puzzle is a simple sequence, to which one term will be added each day. Your challenge is simply to determine the mathematical rule behind the sequence.

I am not really sure how difficult this will be (quite challenging, I think), so we could be here for a long, long time… or equally, it could all be over in a couple of days. Or maybe there will be no guesses at all and we will have to quietly forget all about it. Whichever, it’s all good.

The number that just won’t go away…

The 82000 sequence is still generating interest.

Here’s a great Numberphile video about the sequence from mathematician James Grime: