@紫然茗 对吗

1,4,4你要怎么办

展开1,4,6,3,7,9,7

@jdihdib
1,4,6,3,7,9,7=
a_(3n-2)=n(n+1)/2
a_(3n-1)=(n+1)(n+2)/2+1
a_(3n)=(n+1)(n+2)/2+3

现在开始分析吧，我已经不知道我在搞大数学还是数学了
1=1
1,2=ω
1,2,1,2=ω2
1,2,2=ω^2
1,2,3=ω^ω
1,2,3,4=ω^ω^ω
1,3=ε0
1,3,2=ε0*ω
1,3,2,4=ε0^2
1,3,2,4,2,4=ε0^3
1,3,2,4,3=ε0^ω
1,3,2,4,3,5=ε0^ε0
1,3,3=ε1
1,3,3,3=ε2
1,3,4=εω
1,3,4,6=εε0
1,3,5=ζ0

1,3,5,3=ε(ζ0+1)
1 3 5 3 3=ε(ζ0+2)
1 3 5 3 4 6 8=ε(ζ0*2)
1 3 5 3 4 6 8 6=εε(ζ0+1)
1 3 5 3 5=ζ1
1 3 5 4=ζω
1 3 5 4 6 8=ζζ0
1 3 5 5=η0
1 3 5 5 5=φ(4,0)
1 3 5 6=φ(ω,0)
1 3 5 6 8 10 11=φ(φ(ω,0),0)
1 3 5 7=Γ0
1 3 5 7 3=ε(Γ0+1)
1 3 5 7 3 5 6=φ(ω,Γ0+1)
1 3 5 7 3 5 6 8 10 12=φ(Γ0,1)
1 3 5 7 3 5 7=Γ1
1 3 5 7 4=Γω
1 3 5 7 4 6 8 10=ΓΓ0
1 3 5 7 5=φ(1,1,0)
1 3 5 7 5 5=φ(1,2,0)
1 3 5 7 5 6=φ(1,ω,0)
1 3 5 7 5 7=φ(2,0,0)
1 3 5 7 6=φ(ω,0,0)
1 3 5 7 7=φ(1,0,0,0)
1 3 5 7 7 7=φ(1,0,0,0,0)
1 3 5 7 8=φ(1@ω)
1 3 5 7 8 10 12 14 15=φ(1@φ(1@ω))
1 3 5 7 9=ψ(Ω^Ω^Ω)

1,4,9,11,9=
a_(4n-3)=3n^2-2n
a_(4n-2)=3n^2+n
a_(4n-1)=3n^2+4n+2
a_(4n)=3n^2+7n+1

另外，没什么必要分析0-Y，这东西和BMS是逐项互译的

1 3 5 7 9 11=(0)(1,1)(2,1)(3,1)(4,1)(5,1)
1 3 6=(0)(1,1)(2,2)=ψ(Ω_2)
1 3 6 3=(0)(1,1)(2,2)(1,1)=ψ(Ω_2+Ω)
1 3 6 3 6=(0)(1,1)(2,2)(1,1)(2,2)=ψ(Ω_2+ψ_1(Ω_2))
1 3 6 4=(0)(1,1)(2,2)(2)=ψ(Ω_2+ψ_1(Ω_2+1))
1 3 6 5=(0)(1,1)(2,2)(2,1)=ψ(Ω_2+ψ_1(Ω_2+Ω))
1 3 6 6=(0)(1,1)(2,2)(2,2)=ψ(Ω_2*2)
1 3 6 7=(0)(1,1)(2,2)(3)=ψ(Ω_2*ω)
1 3 6 8=(0)(1,1)(2,2)(3,1)=ψ(Ω_2*Ω)
1 3 6 8 8=(0)(1,1)(2,2)(3,1)(3,1)=ψ(Ω_2*Ω^2)
1 3 6 8 10=(0)(1,1)(2,2)(3,1)(4,1)=ψ(Ω_2*Ω^Ω)
1 3 6 8 11=(0)(1,1)(2,2)(3,1)(4,2)=ψ(Ω_2*ψ_1(Ω_2))
1 3 6 9=(0)(1,1)(2,2)(3,2)=ψ(Ω_2^2)
1 3 6 9 9=(0)(1,1)(2,2)(3,2)(3,2)=ψ(Ω_2^3)
1 3 6 9 11=(0)(1,1)(2,2)(3,2)(4,1)=ψ(Ω_2^Ω)
1 3 6 9 12=(0)(1,1)(2,2)(3,2)(4,2)=ψ(Ω_2^Ω_2)
1 3 6 10=(0)(1,1)(2,2)(3,3)=ψ(Ω_3)

1 3 6 10 15=(0)(1,1)(2,2)(3,3)(4,4)=ψ(Ω_4)
1 4=(0)(1,1,1)=ψ(Ω_ω)
1 4 3=(0)(1,1,1)(1,1)=ψ(Ω_ω+Ω)
1 4 3 7=(0)(1,1,1)(1,1)(2,2,1)=ψ(Ω_ω+ψ_1(Ω_ω))
1 4 3 7 6=(0)(1,1,1)(1,1)(2,2,1)(2,2)=ψ(Ω_ω+Ω_2)
1 4 4=(0)(1,1,1)(1,1,1)=ψ(Ω_ω*2)
1 4 5=(0)(1,1,1)(2)=ψ(Ω_ω*ω)
1 4 6=(0)(1,1,1)(2,1)=ψ(Ω_ω*Ω)
1 4 6 3=(0)(1,1,1)(2,1)(1,1)=ψ(Ω_ω*Ω+Ω)
1 4 6 3 7=(0)(1,1,1)(2,1)(1,1)(2,2,1)=ψ(Ω_ω*Ω+ψ_1(Ω_ω))
1 4 6 3 7 9 6=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(2,2)=ψ(Ω_ω*Ω+Ω_2)
1 4 6 3 7 9 6 11 13 10=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(2,2)(3,3,1)(4,1)(3,3)=ψ(Ω_ω*Ω+Ω_3)
1 4 6 3 7 9 7=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(2,2,1)=ψ(Ω_ω*Ω+Ω_ω)（你们为啥都用这个表达式举例啊，它长得好看吗）
1 4 6 3 7 9 7 9=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(2,2,1)(3,1)=ψ(Ω_ω*Ω2)
1 4 6 3 7 9 9=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(3,1)=ψ(Ω_ω*Ω^2)
1 4 6 3 7 9 11=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(4,1)=ψ(Ω_ω*Ω^2)
1 4 6 3 7 9 12=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(4,2)=ψ(Ω_ω*ψ_1(Ω_2))
1 4 6 3 7 9 13=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,1)(4,2,1)=ψ(Ω_ω*ψ_1(Ω_ω))
1 4 6 3 7 10=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,2)=ψ(Ω_ω*Ω_2)
1 4 6 3 7 10 6 11 15=(0)(1,1,1)(2,1)(1,1)(2,2,1)(3,2)(2,2)(3,3,1)(4,3)=ψ(Ω_ω*Ω_3)
1 4 6 4=(0)(1,1,1)(2,1)(1,1,1)=ψ(Ω_ω^2)

1 4 6 5=(0)(1,1,1)(2,1)(2)=ψ(Ω_ω^2*ω)
1 4 6 6=(0)(1,1,1)(2,1)(2,1)=ψ(Ω_ω^2*Ω)
1 4 6 8=(0)(1,1,1)(2,1)(3,1)=ψ(Ω_ω^Ω)
1 4 6 8 10=(0)(1,1,1)(2,1)(3,1)(4,1)=ψ(Ω_ω^Ω_ω^Ω)
1 4 6 9=(0)(1,1,1)(2,1)(3,2)=ψ(Ω_(ω+1))
1 4 6 9 13=(0)(1,1,1)(2,1)(3,2)(4,3)=ψ(Ω_(ω+2))
1 4 6 10=(0)(1,1,1)(2,1)(3,2,1)=ψ(Ω_(ω2))
1 4 6 10 13 18=(0)(1,1,1)(2,1)(3,2,1)(3,2)(4,3,1)=ψ(Ω_(ω3))
1 4 7=(0)(1,1,1)(2,1,1)=ψ(Ω_(ω^2))
1 4 7 7=(0)(1,1,1)(2,1,1)=ψ(Ω_(ω^3))
1 4 7 9=(0)(1,1,1)(2,1,1)(3,1)=ψ(Ω_Ω)
1 4 7 9 4 7 9=(0)(1,1,1)(2,1,1)(3,1)(1,1,1)(2,1,1)(3,1)=ψ(Ω_Ω_Ω)
1 4 7 9 5=(0)(1,1,1)(2,1,1)(3,1)(2)=ψ(I)

0-Y会了就试试展开1-Y
1,2,4=1,2,3,4,......（不整通项了太累了）
1,2,4,4=1,2,4,3,5,4,6,......
1,2,4,6=1,2,4,5,7,8,10,......
1,2,4,7=1,2,4,6,8,10,......
1,2,4,8=1,2,4,7,11,16,......
1,2,4,8,10=1,2,4,8,9,10,12,16,17,18,20,24,......
1,2,4,8,11=1,2,4,8,10,14,16,20,......
1,2,4,8,12=1,2,4,8,11,16,20,26,31,38,......
1,2,4,8,13=1,2,4,8,12,16,20,24,......
1,2,4,8,14=1,2,4,8,13,19,27,36,46,58......
1,2,4,8,15=1,2,4,8,14,22,32,44,58......
1,2,4,8,16=1,2,4,8,15,26,42,64,93......
1,3=1,2,2^2,2^3,2^4,2^5......

1,3,3展开

接下来就分析BMS顺便分析0-Y吧
1 4 7 9 6=(0)(1,1,1)(2,1,1)(3,1)(2,1)=ψ(I+ψ_I(I)*Ω)
1 4 7 9 6 4 7 9 5=(0)(1,1,1)(2,1,1)(3,1)(2,1)(1,1,1)(2,1,1)(3,1)(2)=ψ(I+ψ_I(I)^2)
1 4 7 9 6 5=(0)(1,1,1)(2,1,1)(3,1)(2,1)(2)=ψ(I+ψ_I(I)^2*ω)
1 4 7 9 6 6=(0)(1,1,1)(2,1,1)(3,1)(2,1)(2,1)=ψ(I+ψ_I(I)^2*Ω)
1 4 7 9 6 7=(0)(1,1,1)(2,1,1)(3,1)(2,1)(3)=ψ(I+ψ_I(I)^ω)
1 4 7 9 6 9=(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2)=ψ(I+ψ_I(I+1))
1 4 7 9 6 10=(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)=ψ(I+ψ_I(I+ω))
1 4 7 9 6 10 15 17 7 =(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,1)(3)=ψ(I+ψ_I(I+ψ_I(I)))?
1 4 7 9 6 10 15 17 10=(0)(1,1,1)(2,1,1)(3,1)(2,1)(3,2,1)(4,2,1)(5,1)(4)=ψ(I2)
1 4 7 9 7=(0)(1,1,1)(2,1,1)(3,1)(2,1,1)=ψ(Iω)