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1.1 ! root 1: {x, {y}}: {"x",{"y"}} ! 2: |{{1,2}}|: 1 ! 3: F!6: 8 ! 4: {1,2,3} -> {6,7,8,9}: {1,2,3,6,7,8,9} ! 5: F sub 3:5: {2,3,5} ! 6: F sub 5:inf: {5,8,13,21,34,...} ! 7: {x, {y}}: {"x",{"y"}} ! 8: |{{1,2}}|: 1 ! 9: F!6: 8 ! 10: {1,2,3} -> {6,7,8,9}: {1,2,3,6,7,8,9} ! 11: F sub 3:5: {2,3,5} ! 12: F sub 5:inf: {5,8,13,21,34,...} ! 13: {x, {y}}: {"x",{"y"}} ! 14: |{{1,2}}|: 1 ! 15: F!6: 8 ! 16: {1,2,3} -> {6,7,8,9}: {1,2,3,6,7,8,9} ! 17: F sub 3:5: {2,3,5} ! 18: F sub 5:inf: {5,8,13,21,34,...} ! 19: Fibonacci sequence: {1,1,2,3,5,8,13,21,34,55,...} ! 20: closure of a,b,c: {"","a","b","c","aa","ab","ac","ba","bb","bc",...} ! 21: [i]: {1,2,3,4,5,...} ! 22: [i - 1]: {0,1,2,3,4,...} ! 23: [i ^ 2]: {1,4,9,16,25,...} ! 24: [i mod 3]: {1,2,0,1,2,...} ! 25: [a to i]: {"a","aa","aaa","aaaa","aaaaa",...} ! 26: [1]: {1,1,1,1,1,...} ! 27: [aa]: {"aa","aa","aa","aa","aa",...} ! 28: Fibonacci sequence: {1,1,2,3,5,8,13,21,34,55,...} ! 29: closure of a,b,c: {"","a","b","c","aa","ab","ac","ba","bb","bc",...} ! 30: [i]: {1,2,3,4,5,...} ! 31: [i - 1]: {0,1,2,3,4,...} ! 32: [i ^ 2]: {1,4,9,16,25,...} ! 33: [i mod 3]: {1,2,0,1,2,...} ! 34: [a to i]: {"a","aa","aaa","aaaa","aaaaa",...} ! 35: [1]: {1,1,1,1,1,...} ! 36: [aa]: {"aa","aa","aa","aa","aa",...} ! 37: Fibonacci sequence: {1,1,2,3,5,8,13,21,34,55,...} ! 38: closure of a,b,c: {"","a","b","c","aa","ab","ac","ba","bb","bc",...} ! 39: [i]: {1,2,3,4,5,...} ! 40: [i - 1]: {0,1,2,3,4,...} ! 41: [i ^ 2]: {1,4,9,16,25,...} ! 42: [i mod 3]: {1,2,0,1,2,...} ! 43: [a to i]: {"a","aa","aaa","aaaa","aaaaa",...} ! 44: [1]: {1,1,1,1,1,...} ! 45: [aa]: {"aa","aa","aa","aa","aa",...} ! 46: [Iplus:i]: {1,2,3,4,5,...} ! 47: [Izero:i]: {0,1,2,3,4,...} ! 48: [Fibseq:i]: {1,1,2,3,5,...} ! 49: [[i ^ 2]:F]: {1,3,34,987,75025,...} ! 50: [[i ** 2]:F]: {1,3,34,987} ! 51: [{1,3,5}:Abc!i]: {"","b","aa"} ! 52: Iplus \ 4: {1,2,3,4} ! 53: [Iplus \ 4:Abc!i]: {"","a","b","c"} ! 54: [Iplus:i]: {1,2,3,4,5,...} ! 55: [Izero:i]: {0,1,2,3,4,...} ! 56: [Fibseq:i]: {1,1,2,3,5,...} ! 57: [[i ^ 2]:F]: {1,3,34,987,75025,...} ! 58: [[i ** 2]:F]: {1,3,34,987} ! 59: [{1,3,5}:Abc!i]: {"","b","aa"} ! 60: Iplus \ 4: {1,2,3,4} ! 61: [Iplus \ 4:Abc!i]: {"","a","b","c"} ! 62: [Iplus:i]: {1,2,3,4,5,...} ! 63: [Izero:i]: {0,1,2,3,4,...} ! 64: [Fibseq:i]: {1,1,2,3,5,...} ! 65: [[i ^ 2]:F]: {1,3,34,987,75025,...} ! 66: [[i ** 2]:F]: {1,3,34,987} ! 67: [{1,3,5}:Abc!i]: {"","b","aa"} ! 68: Iplus \ 4: {1,2,3,4} ! 69: [Iplus \ 4:Abc!i]: {"","a","b","c"} ! 70: [lambda(j)k + j]: {101,102,103,104,105,...} ! 71: [F:lambda(j)k + j]: {101,101,102,103,105,...} ! 72: [Abc:lambda(s)s || s]: {"","aa","bb","cc","aaaa",...} ! 73: [lambda(j)k + j]: {101,102,103,104,105,...} ! 74: [F:lambda(j)k + j]: {101,101,102,103,105,...} ! 75: [Abc:lambda(s)s || s]: {"","aa","bb","cc","aaaa",...} ! 76: [lambda(j)k + j]: {101,102,103,104,105,...} ! 77: [F:lambda(j)k + j]: {101,101,102,103,105,...} ! 78: [Abc:lambda(s)s || s]: {"","aa","bb","cc","aaaa",...} ! 79: [lambda(i)[lambda(j) U!i || L!j]: {"Aa","Ab","Ba","Bb","Ca",...} ! 80: [lambda(i)[lambda(j) U!j || L!i]: {"Aa","Ba","Ca","Ab","Bb",...} ! 81: [Izero:lambda(j)[(Iplus %% j) \ (j + 1):i]]: {2,3,3,4,5,...} ! 82: [lambda(i)[lambda(j) U!i || L!j]: {"Aa","Ab","Ba","Bb","Ca",...} ! 83: [lambda(i)[lambda(j) U!j || L!i]: {"Aa","Ba","Ca","Ab","Bb",...} ! 84: [Izero:lambda(j)[(Iplus %% j) \ (j + 1):i]]: {2,3,3,4,5,...} ! 85: [lambda(i)[lambda(j) U!i || L!j]: {"Aa","Ab","Ba","Bb","Ca",...} ! 86: [lambda(i)[lambda(j) U!j || L!i]: {"Aa","Ba","Ca","Ab","Bb",...} ! 87: [Izero:lambda(j)[(Iplus %% j) \ (j + 1):i]]: {2,3,3,4,5,...} ! 88: I + J: {101,202,303,404,505,...} ! 89: {a, ab, c} || {c, b, a}: {"ac","abb","ca"} ! 90: Abc || Abc: {"","aa","bb","cc","aaaa",...} ! 91: {1,2,3,4} + {1,4}: {2,6} ! 92: {a, ab, c} || {x}: {"ax"} ! 93: I + J: {101,202,303,404,505,...} ! 94: {a, ab, c} || {c, b, a}: {"ac","abb","ca"} ! 95: Abc || Abc: {"","aa","bb","cc","aaaa",...} ! 96: {1,2,3,4} + {1,4}: {2,6} ! 97: {a, ab, c} || {x}: {"ax"} ! 98: I + J: {101,202,303,404,505,...} ! 99: {a, ab, c} || {c, b, a}: {"ac","abb","ca"} ! 100: Abc || Abc: {"","aa","bb","cc","aaaa",...} ! 101: {1,2,3,4} + {1,4}: {2,6} ! 102: {a, ab, c} || {x}: {"ax"} ! 103: [if I!i = 0 then {0} else {1}]: {1,1,0,0,1,...} ! 104: [if I!i = 0 then 0 else 1]: {1,1,0,0,1,...} ! 105: [if I!i = 0 then {0} else {1}]: {1,1,0,0,1,...} ! 106: [if I!i = 0 then 0 else 1]: {1,1,0,0,1,...} ! 107: [if I!i = 0 then {0} else {1}]: {1,1,0,0,1,...} ! 108: [if I!i = 0 then 0 else 1]: {1,1,0,0,1,...} ! 109: Red(Iplus \ 5,+): {1,3,6,10,15} ! 110: [Red(F \ i,+)]: {1,1,2,1,2,...} ! 111: [Red(Abc \ (i + 1),||)]: {"","a","","a","ab",...} ! 112: Red(Iplus \ 5,+): {1,3,6,10,15} ! 113: [Red(F \ i,+)]: {1,1,2,1,2,...} ! 114: [Red(Abc \ (i + 1),||)]: {"","a","","a","ab",...} ! 115: Red(Iplus \ 5,+): {1,3,6,10,15} ! 116: [Red(F \ i,+)]: {1,1,2,1,2,...} ! 117: [Red(Abc \ (i + 1),||)]: {"","a","","a","ab",...} ! 118: [if Iplus!i mod 2 = 0 then Iplus!i]: {2,4,6,8,10,...} ! 119: [if |Abc!i| mod 2 = 0 then Abc!i]: {"","aa","ab","ac","ba",...} ! 120: [if i mod 2 = 1 then F!(i + 1) else F!(i - 1)]: {1,1,3,2,8,5,21,13,55,34,...} ! 121: [if i mod 2 = 1 then Iplus!i + Iplus!(i + 1)]: {3,7,11,15,19,...} ! 122: [if I!i = 0 then i]: {1,5,7} ! 123: [if Iplus!i mod 2 = 0 then Iplus!i]: {2,4,6,8,10,...} ! 124: [if |Abc!i| mod 2 = 0 then Abc!i]: {"","aa","ab","ac","ba",...} ! 125: [if i mod 2 = 1 then F!(i + 1) else F!(i - 1)]: {1,1,3,2,8,5,21,13,55,34,...} ! 126: [if i mod 2 = 1 then Iplus!i + Iplus!(i + 1)]: {3,7,11,15,19,...} ! 127: [if I!i = 0 then i]: {1,5,7} ! 128: [if Iplus!i mod 2 = 0 then Iplus!i]: {2,4,6,8,10,...} ! 129: [if |Abc!i| mod 2 = 0 then Abc!i]: {"","aa","ab","ac","ba",...} ! 130: [if i mod 2 = 1 then F!(i + 1) else F!(i - 1)]: {1,1,3,2,8,5,21,13,55,34,...} ! 131: [if i mod 2 = 1 then Iplus!i + Iplus!(i + 1)]: {3,7,11,15,19,...} ! 132: [if I!i = 0 then i]: {1,5,7} ! 133: [Fib(i)]: {1,1,2,3,5,...} ! 134: [Fibs(i)]: {"a","b","ba","bab","babba",...} ! 135: [G(i - 1)]: {0,1,1,2,3,...} ! 136: [Izero:G(i)]: {0,1,1,2,3,...} ! 137: [Izero:Gk(i,2)]: {1,2,2,2,3,...} ! 138: [Fib(i)]: {1,1,2,3,5,...} ! 139: [Fibs(i)]: {"a","b","ba","bab","babba",...} ! 140: [G(i - 1)]: {0,1,1,2,3,...} ! 141: [Izero:G(i)]: {0,1,1,2,3,...} ! 142: [Izero:Gk(i,2)]: {1,2,2,2,3,...} ! 143: [Fib(i)]: {1,1,2,3,5,...} ! 144: [Fibs(i)]: {"a","b","ba","bab","babba",...} ! 145: [G(i - 1)]: {0,1,1,2,3,...} ! 146: [Izero:G(i)]: {0,1,1,2,3,...} ! 147: [Izero:Gk(i,2)]: {1,2,2,2,3,...}
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