Find the next number in the sequence :

1; 5; 33; 25; 2; 16; 14; 12; 11; ?

What is the next number and why ?

  • $\begingroup$ Is the answer a function? i dont like sequences where a number represents the length of a word or something similar $\endgroup$ – Bedi Mar 26 '19 at 11:16
  • $\begingroup$ @Bedi, Hi, sorry for this late answer. No, there's no letter or words behind it, it's purely mathematics (i'll add this tag by the way). $\endgroup$ – Rémi Henry Mar 26 '19 at 15:19
  • $\begingroup$ @RémiHenry are you sure is it purely mathematics? Any clues? $\endgroup$ – CR241 Mar 26 '19 at 22:41
  • $\begingroup$ Hmm... the 8th difference is -1016. Not really getting anywhere xD $\endgroup$ – Artemis still doesn't trust SE Mar 27 '19 at 4:01
  • $\begingroup$ is this sequence infinitely long? $\endgroup$ – elias Mar 27 '19 at 9:46

The next number is


The numbers come from this OEIS sequence or this OEIS sequence, but any trailing zeros are removed.

In particular, this is the sequence without zeros removed:

100, 50, 33, 25, 20, 16, 14, 12, 11, 10

  • 1
    $\begingroup$ I hope thats not the answer, since i tried to figure that one out for a long period of time. But if i couldnt figure it out just because i didnt knew the OEIS sequence ist depressing $\endgroup$ – Bedi Mar 27 '19 at 18:14
  • $\begingroup$ I mean, even w/o the OEIS sequence, the sequence itself is not too complicated once you figure out the trick. Look at [100/n]. $\endgroup$ – Don Thousand Mar 27 '19 at 19:45
  • $\begingroup$ Rot13(V gubhtug nobhg gur vairefr shapgvba, naq gnxvat gur svefg 2 ahzoref, rkpyhqvat 0.) But your solution works as well, congratulations ;) $\endgroup$ – Rémi Henry Mar 28 '19 at 8:17
  • $\begingroup$ Yes indeed. The trick was the the Zeros where removed. I may have found the [100/n] afterwards. $\endgroup$ – Bedi Mar 28 '19 at 12:41

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