I\'ve been looking at the various ways of constructing lazy lists in Perl 6 and I would like to collect all of the concise ways of describing the Fibonacci sequence.
I w
The shortest seems to be
my @fibs := ^2,*+*...*;
You can use the magic of the golden ratio: let φ=(sqrt(5)+1)/2, and define fib(n)=(φn+(1-φ)n)/sqrt(5).
You can convert such a function into a lazy list in the obvious way: In Haskell the following works:
fibs=genfibs 0 where genfibs n=(round (fib n)):genfibs (n+1)
I'm afraid my Perl 6 knowledge isn't up to translating this, sorry! Anyone who edits this answer to edit in the codes will earn my gratitude.
A more testing question would be to list ways of generating the lazy list of Hamming numbers.