Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by benjoffe on Monday April 09, 2012 @06:22AM
(#3816392)
In that case the sequence should be 1, 1, 2, 720... as zero factorial equals one.
Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by civild on Monday April 09, 2012 @06:30AM
(#3816404)
Oops, quite right!
Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by dedward on Monday April 09, 2012 @11:26AM
(#3817356)
0 is correct pragmatacally, and makes the puzzle harder for those not wise that 0!=1 by the definition of factorial. (as opposed to proof.... factorial being a shorthand for math and ths being convenient. if there were a proof it would be a theorem, which its not.)
i knew factorial but i had to read up on 0!, news to me too.
on another note, without context, we could say there is an infinite set of functions that satisfy any such question.
"what could come next and why" or something.
edit: 1 is indeed correct for the sequence, ignore that part... my bad.
Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by waqf on Monday April 09, 2012 @08:08PM
(#3819967)
No, the sequence is correct as originally posted and the rule is:
0, 1!, (2!)!, ((3!)!)!, (((4!)!)!)!, ...
Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by reitzensteinm on Monday April 09, 2012 @11:37AM
(#3817422)
While the zero is off in the GP's post, he technically could have been talking about the series of n!!!
Re:What comes next: π/2, π/2, π/2, π/2, π/2, π/2, π/2, ...?
by anonymoushn on Monday April 09, 2012 @06:21AM
(#3816390)
I have (0!)! = (1!)! = 1 over here.
For the curious, the sequence follows factorial (!) applied twice, i.e. (0!)!, (1!)! etc. (3!)! is 720, and (4!)! is 6.20448402 × 10^23.