perplexus.info :: Just Math : Rooted to the Floor II

Rooted to the Floor II (Posted on 2014-09-08)

Define F(x) = floor(⁴√x).

Find the value of :

1/F(1) + 1/F(2) +....+ 1/F(2014)

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer solution

| Comment 1 of 3

5 point 20

10 for X=1 to 2014

20 Rt=sqrt(sqrt(X))

30 Rtround=int(Rt+0.5)

40 if abs(Rtround-Rt)<0.00000000000001 then Rt=Rtround

50 Tot=Tot+1//int(Rt)

60 next

70 print Tot

finds

27127 / 60

which can be given as 452 + 7/60.

Posted by Charlie on 2014-09-08 17:28:37

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