Go back to previous page
Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: College math
Topic ID: 546
Message ID: 12
#12, RE: difficult sequence, areas partitioned in circle ,
Posted by Pierre Charland on Jan-20-06 at 08:59 PM
In response to message #11
CORRECTION: 18 should be 22 in my previous answer,
(I can't do anything without my calculator!)

If k=n(n-1)/2 then

((n(n-1)/2)^2+(n(n-1)/2)+2)/2 = (n^4-2n^3+3n^2-2n+8)/8

giving 1, 2, 7, 22, 56, 121, 232, 407, 667, 1036, 1541, 2212, ...