Gamma Function - 5.10 Continued Fractions

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5.10#Ex1 a 0 = 1 12 subscript π‘Ž 0 1 12 {\displaystyle{\displaystyle a_{0}=\tfrac{1}{12}}}
a_{0} = \tfrac{1}{12}

a[0] = (1)/(12)
Subscript[a, 0] == Divide[1,12]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex2 a 1 = 1 30 subscript π‘Ž 1 1 30 {\displaystyle{\displaystyle a_{1}=\tfrac{1}{30}}}
a_{1} = \tfrac{1}{30}

a[1] = (1)/(30)
Subscript[a, 1] == Divide[1,30]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex3 a 2 = 53 210 subscript π‘Ž 2 53 210 {\displaystyle{\displaystyle a_{2}=\tfrac{53}{210}}}
a_{2} = \tfrac{53}{210}

a[2] = (53)/(210)
Subscript[a, 2] == Divide[53,210]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex4 a 3 = 195 371 subscript π‘Ž 3 195 371 {\displaystyle{\displaystyle a_{3}=\tfrac{195}{371}}}
a_{3} = \tfrac{195}{371}

a[3] = (195)/(371)
Subscript[a, 3] == Divide[195,371]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex5 a 4 = 22999 22737 subscript π‘Ž 4 22999 22737 {\displaystyle{\displaystyle a_{4}=\tfrac{22999}{22737}}}
a_{4} = \tfrac{22999}{22737}

a[4] = (22999)/(22737)
Subscript[a, 4] == Divide[22999,22737]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex6 a 5 = 299 44523 197 33142 subscript π‘Ž 5 299 44523 197 33142 {\displaystyle{\displaystyle a_{5}=\tfrac{299\;44523}{197\;33142}}}
a_{5} = \tfrac{299\;44523}{197\;33142}

a[5] = (29944523)/(19733142)
Subscript[a, 5] == Divide[29944523,19733142]
Skipped - no semantic math Skipped - no semantic math - -
5.10#Ex7 a 6 = 10 95352 41009 4 82642 75462 subscript π‘Ž 6 10 95352 41009 4 82642 75462 {\displaystyle{\displaystyle a_{6}=\tfrac{10\;95352\;41009}{4\;82642\;75462}}}
a_{6} = \tfrac{10\;95352\;41009}{4\;82642\;75462}

a[6] = (109535241009)/(48264275462)
Subscript[a, 6] == Divide[109535241009,48264275462]
Skipped - no semantic math Skipped - no semantic math - -