# Find the next number in this sequence

Find the next number in the sequence :

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

What is the next number and why ?

• Is the answer a function? i dont like sequences where a number represents the length of a word or something similar
– Bedi
Mar 26, 2019 at 11:16
• @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). Mar 26, 2019 at 15:19
• @RémiHenry are you sure is it purely mathematics? Any clues? Mar 26, 2019 at 22:41
• Hmm... the 8th difference is -1016. Not really getting anywhere xD Mar 27, 2019 at 4:01
• is this sequence infinitely long? Mar 27, 2019 at 9:46

The next number is

1

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

• 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
– Bedi
Mar 27, 2019 at 18:14
• 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]. Mar 27, 2019 at 19:45
• Rot13(V gubhtug nobhg gur vairefr shapgvba, naq gnxvat gur svefg 2 ahzoref, rkpyhqvat 0.) But your solution works as well, congratulations ;) Mar 28, 2019 at 8:17
• Yes indeed. The trick was the the Zeros where removed. I may have found the [100/n] afterwards.
– Bedi
Mar 28, 2019 at 12:41