Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-08 Thread Raj N
@saurabh: Hey u're right this is interesting. I checked for n=5 its giving 13 i.e fib(7) On Mon, Jun 7, 2010 at 9:19 PM, saurabh gupta sgup...@gmail.com wrote: it might be referring to no of sequences (say T(n) ) with no consecutive 1's for n = 3, ans would be 5 viz. 000, 001, 010, 100, 101

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-08 Thread divya jain
how do u come to this formula T(n)=fib(n+2).. plz explain On 7 June 2010 21:19, saurabh gupta sgup...@gmail.com wrote: it might be referring to no of sequences (say T(n) ) with no consecutive 1's for n = 3, ans would be 5 viz. 000, 001, 010, 100, 101 T(n) = fib(n+2) where fib = Fibonacci

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-08 Thread Raj N
I just checked out with so many possibilities and it is indeed matching. I may not be correct though. On Tue, Jun 8, 2010 at 7:50 PM, divya jain sweetdivya@gmail.com wrote: how do u come to this formula T(n)=fib(n+2).. plz explain On 7 June 2010 21:19, saurabh gupta sgup...@gmail.com

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-08 Thread Senthilnathan Maadasamy
I found a nice explanation (from some other site) on how to get this formula T(n) = fib(n+2). Consider the set of all binary numbers of length n that end with 0. The first n-1 positions can be anything (0 or 1). So if we take the set of all binary numbers of length n-1 and append 0 to each of

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-08 Thread saurabh gupta
recursion. for length n if the count is T(n) then T(n) = 1st digit 0 + 1st digit 1 = T(n-1) + 1st digit 1 2nd digit 0 = T(n-1) + T(n-2) QED. On Tue, Jun 8, 2010 at 9:03 PM, Raj N rajn...@gmail.com wrote: I just checked out with so many possibilities and it is indeed matching. I may not be

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-07 Thread saurabh gupta
it might be referring to no of sequences (say T(n) ) with no consecutive 1's for n = 3, ans would be 5 viz. 000, 001, 010, 100, 101 T(n) = fib(n+2) where fib = Fibonacci series which is interesting. On Sat, Jun 5, 2010 at 11:40 AM, Raj N rajn...@gmail.com wrote: @sharad: What about 101 even

[algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-04 Thread Raj N
Hi, I came across this question to find the number of sequences of n binary digits that don't contain 2 1's in a row. I wanted to know what exactly this means. Is it like if n=3 then compute all binary numbers having 3 digits which don't have consecutive 1's 110, 011, 111 ?? If not help me

Re: [algogeeks] Number of sequences of n binary digits that don't contain two 1's in a row

2010-06-04 Thread sharad kumar
@rajn.can it be subsequence doesnt have one's too.hence 000,001,010,100 is required answer. On Sat, Jun 5, 2010 at 12:13 AM, Raj N rajn...@gmail.com wrote: Hi, I came across this question to find the number of sequences of n binary digits that don't contain 2 1's in a row. I wanted to know