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# 1, 2, 6, 42, 1806 ,?? what is next

Ranch Hand
Posts: 237
this numbers has some proper way.then what is next?

Ranch Hand
Posts: 133
first digit = 1+2
second digit = digit from above operation that comes after + sign
third digit = multiply 1st and second digit
fourth digit = repeat first digit
fifth digit = add 1 to first or fourth digit
sixth digit = repeat whatever you did in previous step
seventh digit = you can get this digit by dividing 3rd digit by 2nd digit

Marshal
Posts: 25682
69
There's a website for everything on the Internet. Even one for integer sequences:

http://www.research.att.com/~njas/sequences/index.html?q=1%2C+2%2C+6%2C+42%2C+1806&language=english&go=Search

Ranch Hand
Posts: 1374
Paul, You are a party crasher.

Sheriff
Posts: 9671
42
I didn't see Paul's link, but its the multiplication of the number itself and its next number, so

1
1*2 = 2
2*3 = 6
6*7 = 42
42*43=1806
1806*1807= ............................................
ohh hell, Start->Run->calc->3263442

Sheriff
Posts: 3036
12
That's one answer Paul's link came up with, although it expresses it as n^2 + n, rather than n * (n + 1). That's a pretty interesting site. I tried a bunch of sequences and it could nearly always derive the pattern.

Posts: 3226
5
2012. The last year of life on Earth. (Yeah, sure!)

Sheriff
Posts: 6631
1254

Tony Alicea wrote:2012. The last year of life on Earth. (Yeah, sure!)

Wait... Jesper will request you something

Java Cowboy
Posts: 16084
88
Yes! If you think the world will end on 21 December 2012, then please send me all your money on 20 December 2012. You won't need that worthless paper anyway after the world has ended!