With Matt in the morning. Uncomfortably hot, and still a bit sore.
Puzzle:
1 3 7 12 18 26 35 45 56
what comes next?
(from Godel, Escher, Bach. hint: specifically, this came from a chapter discussing completeness and negative space)
Thursday, March 20 (easy)
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3 comments:
I've only a guess:
so I think the next ones should be:
69, 83, 97, 112, 128, 145, 164.
I'm not sure how I got this. I looked at the differences and saw:
2,4,5,6,8,9,10,11,
so I said, what if we fill in the gaps?
2, (3), 4, 5, 6, (7), 8, 9, 10, 11, and then said, oh, wouldn't it be interesting if the differences that aren't expressed are the numbers in the sequence? So if I did my math correctly, the sequence above corresponds to gaps in 12 and 18 that aren't expressed.
That's my best guess. I might go google this now.
I think I just checked my sequence and it doesn't add up.
(56)69, 83, 97, 112, 128, 145, 164 corresponds to 13,14, 14, 15, 16, 17, 19. What I meant was:
14, 15, 16, 17, 19, which means it should have been:
69, 83, 98, 114, 131, 150.
I guess to continue this sequence it'd be 170, 191, etc.
Anyhow, I can't add in my head. But let me know if this is right.
that's it, kangway.
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