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Similar pattern: G4 = 50?

Posted By: Mr. Bunny <clarky@cheerful.com>
Date: 17 June 2001, 23:56

In Response To: G1 = 41 (Luigi)

There's a similar pattern in G4, though perhaps not quite as clear-cut & elegant:

50 = 50
13 + 37 = 50
7 + 8+ 13 + 22 = 50

13 + 37 + 50 = 100 = 50 * 2
7 + 8 + 13 + 22 + 50 = 100 = 50 * 2
7 + 8 + 22 + 26 + 37 = 100 = 50 * 2

37 + 113 = 150 = 50 * 3
7 + 8 + 22 + 26 + 37 + 50 = 150 = 50 * 3

37 + 50 + 113 = 200 = 50 * 4
7 + 8 + 13 + 22 + 37 + 113 = 200 = 50 * 4

7 + 8 + 13 + 22 + 37 + 50 + 113 = 250 = 50 * 5

With this many sums of numbers around the circle adding to 50, it's hard not to believe there's a pattern. However, 50 isn't unique in this regard:

7 + 8 + 22 = 37
...and....
26 + 37 + 50 = 113
7 + 8 + 13 + 22 + 26 + 37 = 113

113 & 37 are both on the circle, too. Of course, they add up to 150 = 50 * 3.

Perhaps I'm just spinning my wheels, though, especially considering Claude's message earlier in this thread.

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