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<blockquote data-quote="beej" data-source="post: 4388540" data-attributes="member: 62869">Curses on me for not believing you immediately! I tried to find an equation to determine the amount of XP needed to gain level n, hoping at first that it could be expressed as a quadratic in n. Then I noticed that the pattern &quot;jumps&quot; every now and then, so now the obsessive compulsive mathematician in me is poring through his old analysis textbooks to try to find a good representation for this sequence. And knowing me, I will not rest until I do. &lt;!--[if gte vml 1]&gt;&lt;v:shapetype id=&quot;_x0000_t75&quot; coordsize=&quot;21600,21600&quot;&nbsp; o:spt=&quot;75&quot; o<img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue&nbsp; &nbsp; :p"&nbsp; data-smilie="7"data-shortname=":p" />referrelative=&quot;t&quot; path=&quot;m@4@5l@4@11@9@11@9@5xe&quot; filled=&quot;f&quot;&nbsp; stroked=&quot;f&quot;&gt;&nbsp; &lt;v:stroke joinstyle=&quot;miter&quot;/&gt;&nbsp; &lt;v:formulas&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;if lineDrawn pixelLineWidth 0&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;sum @0 1 0&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;sum 0 0 @1&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @2 1 2&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @3 21600 pixelWidth&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @3 21600 pixelHeight&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;sum @0 0 1&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @6 1 2&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @7 21600 pixelWidth&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;sum @8 21600 0&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;prod @7 21600 pixelHeight&quot;/&gt;&nbsp;&nbsp; &lt;v:f eqn=&quot;sum @10 21600 0&quot;/&gt;&nbsp; &lt;/v:formulas&gt;&nbsp; &lt;v<img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue&nbsp; &nbsp; :p"&nbsp; data-smilie="7"data-shortname=":p" />ath o:extrusionok=&quot;f&quot; gradientshapeok=&quot;t&quot; o:connecttype=&quot;rect&quot;/&gt;&nbsp; &lt;o:lock v:ext=&quot;edit&quot; aspectratio=&quot;t&quot;/&gt; &lt;/v:shapetype&gt;&lt;v:shape id=&quot;_x0000_i1025&quot; type=&quot;#_x0000_t75&quot; alt=&quot;&quot; style='width:12pt;&nbsp; height:12pt'&gt;&nbsp; &lt;v:imagedata src=&quot;file:///C:/DOCUME~1/KUYABE~1/LOCALS~1/Temp/msoclip1/01/clip_image001.png&quot;&nbsp;&nbsp; o:href=&quot;http://www.enworld.org/forum/images/smilies/eek.png&quot;/&gt; &lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;<img src="http://www.enworld.org/forum/images/smilies/worried.png"&nbsp; class="smilie" loading="lazy" alt=":-S" title="Uhm&nbsp; &nbsp; :-S" data-shortname=":-S" />&lt;!--[endif]--&gt;If my guesstimate is right, though, under normal rules you should get to level 40 at 6795500XP. Under our 1000:1 XP to worshipper ratio, that's 67955 followers at demigod 40. Far from the 1000000 worshippers that is the Krustean ideal.I am tentatively supporting this notion. Besides, the GSL doesn't allow us to redefine the monster XP gain anyway, let them keep their xp count. Giving them a separate QP count, still based off level but not with XP, is ideal.When a PC reaches 30th level, s/he is at the peak of her/his mortal capabilities, and the only way to proceed to 31st would be through QP, which is then tracked distinct from XP (capped at 1000000). Those who took the demigod ED probably have some starting QP at 30th, while the rest (unless they did something rp-wise) would start with nil. &lt;!--[if gte vml 1]&gt;&lt;v:shape id=&quot;_x0000_i1026&quot; type=&quot;#_x0000_t75&quot; alt=&quot;&quot;&nbsp; style='width:12pt;height:12pt'&gt;&nbsp; &lt;v:imagedata src=&quot;file:///C:/DOCUME~1/KUYABE~1/LOCALS~1/Temp/msoclip1/01/clip_image003.png&quot;&nbsp;&nbsp; o:href=&quot;http://www.enworld.org/forum/images/smilies/ponder.png&quot;/&gt; &lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;<img src="http://www.enworld.org/forum/images/smilies/ponder.png"&nbsp; class="smilie" loading="lazy" alt=":hmm:" title="Hmmm&nbsp; &nbsp; :hmm:" data-shortname=":hmm:" /> &lt;!--[endif]--&gt;Will follow-up. (plugs in apologies if I'm not making sense because I'm typing this even while sleepy)</blockquote>

[QUOTE="beej, post: 4388540, member: 62869"] Curses on me for not believing you immediately! I tried to find an equation to determine the amount of XP needed to gain level n, hoping at first that it could be expressed as a quadratic in n. Then I noticed that the pattern "jumps" every now and then, so now the obsessive compulsive mathematician in me is poring through his old analysis textbooks to try to find a good representation for this sequence. And knowing me, I will not rest until I do. :-S If my guesstimate is right, though, under normal rules you should get to level 40 at 6795500XP. Under our 1000:1 XP to worshipper ratio, that's 67955 followers at demigod 40. Far from the 1000000 worshippers that is the Krustean ideal. I am tentatively supporting this notion. Besides, the GSL doesn't allow us to redefine the monster XP gain anyway, let them keep their xp count. Giving them a separate QP count, still based off level but not with XP, is ideal. When a PC reaches 30th level, s/he is at the peak of her/his mortal capabilities, and the only way to proceed to 31st would be through QP, which is then tracked distinct from XP (capped at 1000000). Those who took the demigod ED probably have some starting QP at 30th, while the rest (unless they did something rp-wise) would start with nil. :hmm:  Will follow-up. (plugs in apologies if I'm not making sense because I'm typing this even while sleepy) [/QUOTE]

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