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Message: <blockquote data-quote="Davin" data-source="post: 1345969" data-attributes="member: 1183">I recently tried to come up with a formula for this stuff, and didn't do too badly for the bulk of the table, but I had a problem near the leading diagonal (not just the levels 1-3 which seemed to be handlable).  Here are some hints for people to consider...Begin by organizing the table (so we can use the same orientation) with Party Level down the left side and Challenge Rating across the top (different books orient this differently).  Now look out in the middle of the table somewhere and compare nearby numbers that are on the same line.  If you compare numbers that are two apart, you find that they are twice/half one another, as you would expect from the general definition (+2 CR = twice as difficult).  However, this change is not a smooth curve.  In order to get nice round numbers to come out in the table, they opted for a staggered increase.  Therefore, if you check adjacent numbers, you'll see that the right-hand number is either 1.33333 (4/3) or 1.5 (3/2) times the left hand number!  These multipliers alternate back and forth over most of the table, so that any two adjacent multipliers combine together to give a paired multiplier of 1.33333 (4/3) x 1.5 (3/2) = 2 (4/2).  This is why even and odd columns appear to be in different patterns (usually also alternating on even and odd rows).However, as you move toward the left across any particular line and approach the diagonal lower-left edge of the table (as defined by the 7-level reasonableness limit), they suddenly break the pattern and start applying the same 1.33333 & 1.5 multipliers (divisors) randomly rather than alternately.  I can see no good reason for this, nor have I yet spotted a pattern that can let me predict which one they'll be using at any point.  Can anyone spot what pattern is being used in these lower reaches?BTW, another pattern that may have gone unnoticed is the lower-left edge values themselves.  That diagonal line of numbers follows a separate (and simple) pattern of its own of 25 XP times the party level.  Strange, huh?  (You'd think that by using this diagonal and the main center-line computable diagonal [300 XP x PL|CR], we'd be able to compute the rest of the values.  But I've been having trouble coming up with that curve formula, too.)(I haven't checked out the code from earlier in this thread yet, but I expect it to be formula-extended lookup tables.  Maybe some of you have gotten around to it before me and can enlighten me here?)So, who can add to this body of knowledge?</blockquote>

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