User:Cloudy176/Department of bubbly negative numberbottles/Poopillion


 * By 108.20.169.225

Poopillion is equal to 103*poop+3 where poop is defined as:


 * $$p_1(n)=n^n$$
 * $$p_2(n)=p_1^{p_1^{p_1^{...^{p_1(n)}}(n)}(n)}(n)$$ with p_1(n) copies of p_1
 * $$p_3(n)=p_2^{p_2^{p_2^{...^{p_2(n)}}(n)}(n)}(n)$$ with p_2(n) copies of p_2

The rest of the $$p$$ functions are defined the same way.

Now define:


 * $$o_1(n)=p_n(n)$$
 * $$o_2(n)=o_1^n(p_{p_n(n)}(n))$$
 * $$o_3(n)=o_2^{o_1(n)}(p_{p_{p_n(n)}(n)}(n))$$
 * and so on...


 * $$SH!T_1(n)=p_n^{o_n^{o_n^{p_n(n)}(n)}(n)}(n)+o_{o_{o_{...o_n(n)}(n)}(n)}(n)$$
 * $$SH!T_2(n)=p_n^{o_n^{o_n^{p_n(n)}(n)}(n)}(n)+SH!T_1^n(n)$$
 * and continue...

Now we have:

fakepoop = SH!TG(G) where G is Graham's number

fakepoopillion = 103*fakepoop+3


 * ASS(1,1) = fakepoopillion
 * ASS(1,n) = SH!TASS(1,n-1)(fakepoopillion)
 * ASS(m,1) = ASS(m-1,fakepoopillion)
 * ASS(m,n) = ASS(m-1,ASS(m,n-1))fakepoopillion


 * ASSSTENCH(1,1,1) = ASS(fakepoopillion,fakepoopillion) = butt
 * ASSSTENCH(m,n,o) = ASSSTENCH(m,n,o-1)ASS(m,n)+ASS(m,o)+ASS(n,o)+butt
 * ASSSTENCH(m,n,1) = ASSSTENCH(m,n-1,ASSSTENCH(m,n-1,n)+butt)
 * ASSSTENCH(m,1,1) = ASSSTENCH(m-1,m,m)

poop(n) = ASSSTENCH(poop(n-1),poop(n-1),poop(n-1))+poop(n-1)butt

Finally, poop = poop(fakepoopillion).

Original
Poopillion is equal to $$10^{3poop+3}$$ where poop is defined as:

$$p_1(n)=n^n$$ $$p_2(n)=p_1^{p_1^{p_1^{...^{p_1(n)}}(n)}(n)}(n) with p_1(n) copies of p_1$$ $$p_3(n)=p_2^{p_2^{p_2^{...^{p_2(n)}}(n)}(n)}(n) with p_2(n) copies of p_2$$ The rest of the $$p$$ functions are defined the same way. Now define: $$o_1(n)=p_n(n)$$ $$o_2(n)=o_1^n(p_{p_n(n)}(n))$$ $$o_3(n)=o_2^{o_1(n)}(p_{p_{p_n(n)}(n)}(n))$$ and so on... $$SH!T_1(n)=p_n^{o_n^{o_n^{p_n(n)}(n)}(n)}(n)+o_{o_{o_{...o_n(n)}(n)}(n)}(n)$$ $$SH!T_2(n)=p_n^{o_n^{o_n^{p_n(n)}(n)}(n)}(n)+SH!T_1^n(n)$$ and continue... Now we have: fakepoop=$$SH!T_{Graham's number}(Graham's number)$$ fakepoopillion=$$10^{3fakepoop+3}$$ $$ASS(1,1)=fakepoopillion$$ $$ASS(1,n)=SH!T_{ASS(1,n-1)}(fakepoopillion)$$ $$ASS(m,1)=ASS(m-1,fakepoopillion)$$ $$ASS(m,n)=ASS(m-1,ASS(m,n-1))^{fakepoopillion}$$ $$ASSSTENCH(1,1,1)=ASS(fakepoopillion,fakepoopillion)=butt$$ $$ASSSTENCH(m,n,o)=ASSSTENCH(m,n,o-1)^{ASS(m,n)+ASS(m,o)+ASS(n,o)+butt}$$ $$ASSSTENCH(m,n,1)=ASSSTENCH(m,n-1,ASSSTENCH(m,n-1,n)+butt)$$ $$ASSSTENCH(m,1,1)=ASSSTENCH(m-1,m,m)$$ $$poop(n)=ASSSTENCH(poop(n-1),poop(n-1),poop(n-1))+poop(n-1)^{butt}$$ $$poop=poop(fakepoopillion)$$