[seqfan] Recurring Digital Invariant
Eric Angelini
Eric.Angelini at kntv.be
Tue Feb 17 19:10:06 CET 2009
Hello SeqFans,
http://mathworld.wolfram.com/RecurringDigitalInvariant.html
... what if k = "length of the considered integer"?
(k = 2 for the integer 14, for instance)
Starting with said 14:
14 -> 1^2 + 4^2 = 17
17 -> 1^2 + 7^2 = 50
50 -> 5^2 + 0^2 = 25
25 -> 2^2 + 5^2 = 29
29 -> 2^2 + 9^2 = 85
85 -> 8^2 + 5^2 = 89
89 -> 8^2 + 9^2 = 145
145 -> 1^3 + 4^3 + 5^3 = 190
190 -> 1^3 + 9^3 + 0^3 = 730
730 -> 7^3 + 3^3 + 0^3 = 370
370 -> 3^3 + 7^3 + 0^3 = 370 (fixed point)
First fixed points:
S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, ...
Any more?
Best,
É.
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