itachi-san Posted June 12, 2008 Report Share Posted June 12, 2008 1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, ? What is the next number in the series and why? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 12, 2008 Report Share Posted June 12, 2008 Reveal hidden contents windspeed forcast for the next the next fortnight in.. wherevever you are and I think it peaked so reduces to 15 + Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 13, 2008 Report Share Posted June 13, 2008 Lost in space said: Reveal hidden contents windspeed forcast for the next the next fortnight in.. wherevever you are and I think it peaked so reduces to 15 + But in the pattern it doesn't reduce Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 13, 2008 Report Share Posted June 13, 2008 Reveal hidden contents 5,000 Spell them out and none of the series contains a pair of the same letter. Next time that occurs is f-i-v-e t-h-o-u-s-a-n-d Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 16, 2008 Report Share Posted June 16, 2008 *silent bump to the top cause I wanna see the answer to this* Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 16, 2008 Report Share Posted June 16, 2008 The answer is Reveal hidden contents is Spoiler for I knew this: is Spoiler for I knew this: 5000 because The Series is a series of "Nonnegative integers that when written out in full in English have no repeated letter." Reveal hidden contents You borrowed it from The On-Line Encyclopedia of Integer Sequences! I had Already visited this site. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 16, 2008 Report Share Posted June 16, 2008 (edited) itachi-san said: 1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, ? What is the next number in the series and why? Reveal hidden contents Is the series infinite or finite? Edited June 16, 2008 by frotorious Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 19, 2008 Report Share Posted June 19, 2008 frotorious said: Reveal hidden contents Is the series infinite or finite? Reveal hidden contents That is an interesting question, but the series is definitely finite. In fact it has an upper bounds cardinality (I think) of the summation from 1 to n of n^n. i.e. 1^1 + 2^2 + ... + 26^26. This seems a little strange but it is derived from. 26 one letter numbers 26*25 two letter numbers ... 26! twenty-six letter numbers What doesn't seem strange, though: There are only so many combinations you can make out of 26 letters without repeating a letter. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 19, 2008 Report Share Posted June 19, 2008 Sorry, wish I could edit that last post to get the blatantly wrong formula off, but this will have to do. Reveal hidden contents That is an interesting question, but the series is definitely finite. In fact it has an upper bounds cardinality (I think) of the summation from n = 0 to 25 of 26!/n!. i.e. 26 + 26*25 + ... + 26!. This seems a little strange but it is derived from. 26 one letter numbers 26*25 two letter numbers ... 26! twenty-six letter numbers What doesn't seem strange, though: There are only so many combinations you can make out of 26 letters without repeating a letter. Quote Link to comment Share on other sites More sharing options...
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itachi-san
1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, ?
What is the next number in the series and why?
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