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Pseudo-FIBO (Posted on 2014-04-14) Difficulty: 4 of 5

a. If the pseudo-Fibonacci numbers are defined by u(1) = 1 , u(2) = 4, u(n)= u(n-1)+u(n-2) show that u(1) = 1, u(2) = 4, and u(4) = 9 are the only squares in the series.

b. How many ordered integer pairs (a,b) both non-negative (a<b) exist, such that a pseudo-Fibo series based upon any of those pairs (i.e. u(1)=a, u(2)=b... etc) will contain 520 as a member generated by that pair ?

No Solution Yet Submitted by Ady TZIDON    
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Striking a blow for equality | Comment 2 of 5 |
I know it's not my problem, but if it were I would have specified a <= b, given that the real fibonacci series starts with a = b = 1.

If Part (b) is changed so that a <= b, then there are four more solutions:


  Posted by Steve Herman on 2014-04-14 20:49:14
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