第１６話 計算例 𝑭 ο ⟮n⟯
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■ 計算例 ■
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❶
𝑭 ο_ω ⟮0⟯=
𝑭 ƒο_ω ⟮0⟯=
𝑭 (3,P₂¹,3) ⟮0⟯=
𝑭 (3,3,3) ⟮0⟯=
𝑭 ƒ(3,3,3) ⟮0⟯=
𝑭 (𝐍𝐞𝐬𝐭[0],3) ⟮0⟯=
𝑭 (3,3) ⟮0⟯=
𝑭 ƒ(3,3) ⟮0⟯=
𝑭 (P₂¹) ⟮0⟯=
𝑭 (3) ⟮0⟯=
𝑭 ƒ(3) ⟮0⟯=
𝑭 P₂¹ ⟮0⟯=
𝑭 3 ⟮0⟯=
０+１=
１
❷
𝑭 ο_ω ⟮1⟯=
𝑭 ƒο_ω ⟮1⟯=
𝑭 (3,P₃¹,3) ⟮1⟯=
𝑭 (3,5,3) ⟮1⟯=
𝑭 ƒ(3,5,3) ⟮1⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[1]) ⟮1⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[0],3) ⟮1⟯=
𝑭 (3,3) ⟮1⟯=
𝑭 ƒ(3,3) ⟮1⟯=
𝑭 (P₂²) ⟮1⟯=
𝑭 (9) ⟮1⟯=
𝑭 ƒ(9) ⟮1⟯=
𝑭 𝐒𝐮𝐦[1] ⟮1⟯=
𝑭 (3)𝐒𝐮𝐦[0] ⟮1⟯=
𝑭 (3) ⟮1⟯=
𝑭 ƒ(3) ⟮1⟯=
𝑭 P₂² ⟮1⟯=
𝑭 9 ⟮1⟯=
𝑭¹ 3 ⟮1⟯=
𝐧𝐞𝐬𝐭[1]=
𝑭 3 ⟮𝐧𝐞𝐬𝐭[0]⟯=
𝑭 3 ⟮1⟯=
１+１=
２
❸
𝑭 ο_ω ⟮2⟯=
𝑭 ƒο_ω ⟮2⟯=
𝑭 (3,P₄¹,3) ⟮2⟯=
𝑭 (3,7,3) ⟮2⟯=
𝑭 ƒ(3,7,3) ⟮2⟯=
𝑭 (3,𝐏𝐇[2],3) ⟮2⟯=
𝑭 (3,(5,(7,11,7),5),3) ⟮2⟯=
𝑭 (3,(5,(7,11,7),5),3) ⟮2⟯=
C₀：(3,(5,(7,11,7),5),3)
C₁：(5,(7,11,7),5)
C₂ᴱᴺᴰ：(7,11,7)
𝑭 (𝐂𝐥𝐮𝐬𝐭[2]) ⟮2⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[1],【(5,(7,11,7),5)
・𝓜₁=
・ƒ(5,(7,11,7),5)=
・(𝐂𝐥𝐮𝐬𝐭[2])=
・(𝐂𝐥𝐮𝐬𝐭[1],【(7,11,7)
・𝓜₂ᴱᴺᴰ=
・ƒ(7,11,7)＝
・(𝐂𝐥𝐮𝐬𝐭[2])＝
・(𝐂𝐥𝐮𝐬𝐭[1],7)＝
・(𝐂𝐥𝐮𝐬𝐭[0],7,7)＝
・(7,7,7)
・(𝐂𝐥𝐮𝐬𝐭[1],【(7,11,7)
・(𝐂𝐥𝐮𝐬𝐭[0],【(7,11,7)
・(5,【(7,11,7)
・(5,(7,7,7),5,(7,7,7),5)=
𝑭 (𝐂𝐥𝐮𝐬𝐭[1],【(5,(7,11,7),5)
𝑭 (𝐂𝐥𝐮𝐬𝐭[0],【(5,(7,11,7),5)
𝑭 (3,【(5,(7,11,7),5)
𝑭 (3,(5,(7,7,7),5,(7,7,7),5),3,(5,(7,7,7),5,(7,7,7),5),3) ⟮2⟯=
❹
𝑭 (3,5,3) ⟮2⟯=
𝑭 ƒ(3,5,3) ⟮2⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[2]) ⟮2⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[1],3) ⟮2⟯=
𝑭 (𝐂𝐥𝐮𝐬𝐭[0],3,3) ⟮2⟯=
𝑭 (3,3,3) ⟮2⟯=
𝑭 ƒ(3,3,3) ⟮2⟯=
𝑭 (𝐍𝐞𝐬𝐭[2],3) ⟮2⟯=
𝑭 ((𝐍𝐞𝐬𝐭[1],3),3) ⟮2⟯=
𝑭 (((𝐍𝐞𝐬𝐭[0],3),3),3) ⟮2⟯=
𝑭 (((3,3),3),3) ⟮2⟯=
𝑭 ƒ(((3,3),3),3) ⟮2⟯=
𝑭 (ƒ((3,3),3),3) ⟮2⟯=
𝑭 ((ƒ(3,3),3),3) ⟮2⟯=
𝑭 (((27),3),3) ⟮2⟯=
𝑭 ƒ(((27),3),3) ⟮2⟯=
𝑭 (ƒ((27),3),3) ⟮2⟯=
𝑭 ((ƒ(27),3),3) ⟮2⟯=
𝑭 ((𝐒𝐮𝐦[2],3),3) ⟮2⟯=
𝑭 (((9)𝐒𝐮𝐦[1],3),3) ⟮2⟯=
𝑭 (((9)(9)𝐒𝐮𝐦[0],3),3) ⟮2⟯=
𝑭 (((9)(9),3),3) ⟮2⟯=
𝑭 ƒ(((9)(9),3),3) ⟮2⟯=
𝑭 (ƒ((9)(9),3),3) ⟮2⟯=
𝑭 ((ƒ(9)(9),3),3) ⟮2⟯=
𝑭 (((9)ƒ(9),3),3) ⟮2⟯=
𝑭 (((9)𝐒𝐮𝐦[2],3),3) ⟮2⟯=
𝑭 (((9)(3)𝐒𝐮𝐦[1],3),3) ⟮2⟯=
𝑭 (((9)(3)(3)𝐒𝐮𝐦[0],3),3) ⟮2⟯=
𝑭 (((9)(3)(3),3),3) ⟮2⟯=
𝑭 ƒ(((9)(3)(3),3),3) ⟮2⟯=
𝑭 (ƒ((9)(3)(3),3),3) ⟮2⟯=
𝑭 ((ƒ(9)(3)(3),3),3) ⟮2⟯=
𝑭 (((9)(3)ƒ(3),3),3) ⟮2⟯=
𝑭 (((9)(3)27,3),3) ⟮2⟯=
𝑭 ƒ(((9)(3)27,3),3) ⟮2⟯=
𝑭 (ƒ((9)(3)27,3),3) ⟮2⟯=
𝑭 (((9)(3)9,𝐍𝐞𝐬𝐭[2]),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,𝐍𝐞𝐬𝐭[1])),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,((9)(3)9,𝐍𝐞𝐬𝐭[0]))),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,((9)(3)9,3))),3) ⟮2⟯=
𝑭 ƒ(((9)(3)9,((9)(3)9,((9)(3)9,3))),3) ⟮2⟯=
𝑭 (ƒ((9)(3)9,((9)(3)9,((9)(3)9,3))),3) ⟮2⟯=
𝑭 (((9)(3)9, ƒ((9)(3)9,((9)(3)9,3))),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9, ƒ((9)(3)9,3))),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,((9)(3),𝐍𝐞𝐬𝐭[2]))),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,((9)(3),((9)(3),((9)(3),𝐍𝐞𝐬𝐭[0]))))),3) ⟮2⟯=
𝑭 (((9)(3)9,((9)(3)9,((9)(3),((9)(3),((9)(3),3))))),3) ⟮2⟯
❺
𝑭 (3,3) ⟮2⟯=
𝑭 ƒ(3,3) ⟮2⟯=
𝑭 (27) ⟮2⟯=
𝑭 ƒ(27) ⟮2⟯=
𝑭 𝐒𝐮𝐦[2] ⟮2⟯=
𝑭 (9)𝐒𝐮𝐦[1] ⟮2⟯=
𝑭 (9)(9)𝐒𝐮𝐦[0] ⟮2⟯=
𝑭 (9)(9) ⟮2⟯=
𝑭 ƒ(9)(9) ⟮2⟯=
𝑭 (9)ƒ(9) ⟮2⟯=
𝑭 (9)𝐒𝐮𝐦[2] ⟮2⟯=
𝑭 (9)(3)𝐒𝐮𝐦[1] ⟮2⟯=
𝑭 (9)(3)(3)𝐒𝐮𝐦[0] ⟮2⟯=
𝑭 (9)(3)(3) ⟮2⟯=
𝑭 ƒ(9)(3)(3) ⟮2⟯=
𝑭 (9)(3)ƒ(3) ⟮2⟯=
𝑭 (9)(3)27 ⟮2⟯=
𝑭² (9)(3)9 ⟮2⟯=
𝐧𝐞𝐬𝐭[2]=
𝑭 (9)(3)9 ⟮𝐧𝐞𝐬𝐭[1]⟯=
𝑭 (9)(3)9 ⟮𝑭 (9)(3)9 ⟮𝐧𝐞𝐬𝐭[0]⟯⟯=
𝑭 (9)(3)9 ⟮𝑭 (9)(3)9 ⟮2⟯⟯=
𝑭 (9)(3)9 ⟮𝑭² (9)(3) ⟮2⟯⟯=
𝑭 (9)(3)9 ⟮𝐧𝐞𝐬𝐭[2]⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝐧𝐞𝐬𝐭[1]⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)(3)⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)(3)⟮2⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 ƒ(9)(3)⟮2⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)ƒ(3)⟮2⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)27⟮2⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭² (9)9⟮2⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝐧𝐞𝐬𝐭[2]⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮𝐧𝐞𝐬𝐭[1]⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮𝑭 (9)9⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮𝑭 (9)9⟮2⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮𝑭² (9)⟮2⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮𝐧𝐞𝐬𝐭[2]⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝐧𝐞𝐬𝐭[1]⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (9)⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (9)⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 ƒ(9)⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 𝐒𝐮𝐦[2]⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)𝐒𝐮𝐦[1]⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)(3)𝐒𝐮𝐦[0]⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)(3)⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 ƒ(3)(3)⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)ƒ(3)⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)27⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭² (3)9⟮2⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝐧𝐞𝐬𝐭[2]⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝐧𝐞𝐬𝐭[1]⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)9⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)9⟮2⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭² (3)⟮2⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝐧𝐞𝐬𝐭[2]⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮𝐧𝐞𝐬𝐭[1]⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮𝑭 (3)⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮𝑭 (3)⟮2⟯⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮𝑭 ƒ(3)⟮2⟯⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮𝑭 27⟮2⟯⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 (3)⟮8⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 ƒ(3)⟮8⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭 19683⟮8⟯⟯⟯⟯⟯⟯=
𝑭 (9)(3)9 ⟮ 𝑭 (9)(3)⟮𝑭 (9)9⟮ 𝑭 (9)⟮𝑭 (3)9⟮𝑭⁸ 6561⟮8⟯⟯⟯⟯⟯⟯
❻
𝑭 27 ⟮3⟯=
𝑭³ 9 ⟮3⟯=
𝐧𝐞𝐬𝐭[3]=
𝑭 9 ⟮𝐧𝐞𝐬𝐭[2]⟯=
𝑭 9 ⟮𝑭 9 ⟮𝐧𝐞𝐬𝐭[1]⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮𝑭 9 ⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮𝑭 9 ⟮3⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮𝑭³ 3 ⟮3⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮𝐧𝐞𝐬𝐭[3]⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮𝐧𝐞𝐬𝐭[2]⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮ 𝑭 3 ⟮𝐧𝐞𝐬𝐭[1]⟯⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮ 𝑭 3 ⟮𝑭 3 ⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮ 𝑭 3 ⟮𝑭 3 ⟮3⟯⟯⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮ 𝑭 3 ⟮4⟯⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮ 𝑭 3 ⟮5⟯⟯⟯=
𝑭 9 ⟮𝑭 9 ⟮6⟯⟯=
中略
𝑭 9 ⟮12⟯=
２４
❼
𝑭 81 ⟮3⟯=
𝑭³ 27 ⟮3⟯=
𝐧𝐞𝐬𝐭[3]=
𝑭 27 ⟮𝐧𝐞𝐬𝐭[2]⟯=
𝑭 27 ⟮𝑭 27 ⟮𝐧𝐞𝐬𝐭[1]⟯⟯=
𝑭 27 ⟮𝑭 27 ⟮𝑭 27 ⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯=
𝑭 27 ⟮𝑭 27 ⟮𝑭 27 ⟮3⟯⟯⟯=
中略
𝑭 27 ⟮𝑭 27 ⟮24⟯⟯=
中略
𝑭 27 ⟮402653184⟯=
中略
２⁴⁰²⁶⁵³¹⁸⁴×４０２６５３１８４
❽
𝑭 (3)9 ⟮3⟯=
𝑭³ (3) ⟮3⟯=
𝐧𝐞𝐬𝐭[3]=
𝑭 (3) ⟮𝐧𝐞𝐬𝐭[2]⟯=
𝑭 (3) ⟮𝑭 (3) ⟮𝐧𝐞𝐬𝐭[1]⟯⟯=
𝑭 (3) ⟮𝑭 (3) ⟮𝑭 (3) ⟮𝐧𝐞𝐬𝐭[0]⟯⟯⟯=
𝑭 (3) ⟮𝑭 (3) ⟮𝑭 (3) ⟮3⟯⟯⟯=
𝑭 (3) ⟮𝑭 (3) ⟮𝑭 ƒ(3) ⟮3⟯⟯⟯=
𝑭 (3) ⟮𝑭 (3) ⟮𝑭 81 ⟮3⟯⟯⟯=
中略
𝑭 (3) ⟮𝑭 (3) ⟮2⁴⁰²⁶⁵³¹⁸⁴×402653184⟯⟯=
𝑭 (3) ⟮𝑭 ƒ(3) ⟮2⁴⁰²⁶⁵³¹⁸⁴×402653184⟯⟯=
𝑭 (3) ⟮𝑭 P₂ ⁿ⁺¹ ⟮2⁴⁰²⁶⁵³¹⁸⁴×402653184⟯⟯
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