2
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I won't provide a hint this time. This one is OEIS-proof (similar to waterproof :D) too. Twenty terms and guess its logic only.

00,50,33,25,20,16,14,12,11,10,90,83,76,71,66,62,58,55,52,50

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  • 1
    $\begingroup$ Is it important that it's 09 and not just 9? $\endgroup$ – Engineer Toast May 1 '15 at 15:10
  • $\begingroup$ @EngineerToast mistyped. it's 90 $\endgroup$ – RE60K May 1 '15 at 15:11
  • $\begingroup$ @EngineerToast edited. $\endgroup$ – RE60K May 1 '15 at 15:14
  • $\begingroup$ OK, good. I imagine you wanted it to be harder but not that hard. $\endgroup$ – Engineer Toast May 1 '15 at 15:15
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    $\begingroup$ Too easy IMO. 50, 33, 25, 20 is a dead giveaway. $\endgroup$ – Rand al'Thor May 1 '15 at 15:45
6
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To get the nth term, do 1/n and take the first two significant figures after the decimal point (not including leading zeros)

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  • $\begingroup$ Arg! Beat me. :) $\endgroup$ – Cubicon May 1 '15 at 15:22
  • $\begingroup$ anything that helped you most? $\endgroup$ – RE60K May 1 '15 at 15:23
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    $\begingroup$ @ADG "50,33,25" was pretty recognisable. I then just ran a short python script to make sure the numbers matched up for the rest of the series :-) $\endgroup$ – DaveBensonPhillips May 1 '15 at 15:24
2
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First two decimal points ignoring zeros of 1/1, 1/2, 1/3, 1/4...

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