フィボナッチ数列
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開始行:
*フィボナッチ数列:漸化式 [#o73ba83f]
''前の2項の和が次の項の値になるような数列です。''
The nth Fibonacci number is the sum of the previous two F...
初期値 F(0)=0,F(1)=1
F(n) = F(n − 1) + F(n − 2)
-The first 21 Fibonacci numbers , also denoted as Fn, for...
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 25...
*フィボナッチ数列:フィボナッチの兎の問題 [#r23af51d]
In the West, the sequence was studied by Leonardo of Pisa...
In the "zeroth" month, there is one pair of rabbits (addi...
In the first month, the first pair begets another pair (a...
In the second month, both pairs of rabbits have another p...
In the third month, the second pair and the new two pairs...
The laws of this are that each pair of rabbits has 2 pair...
Let the population at month n be F(n). At this time, only...
*黄金数との関係 [#f37d886f]
フィボナッチ数Fnのnを大きくしていくと、続く2項の比 Fn+1...
Limit n--->∞ Fn+1/Fn = φ = (1+√5)/2 =1.61803
-Johannes Kepler observed that the ratio of consecutive F...
''Fnは黄金数φで表わされる''
Fn = [φ^n -(1-φ)^n ]/√5
終了行:
*フィボナッチ数列:漸化式 [#o73ba83f]
''前の2項の和が次の項の値になるような数列です。''
The nth Fibonacci number is the sum of the previous two F...
初期値 F(0)=0,F(1)=1
F(n) = F(n − 1) + F(n − 2)
-The first 21 Fibonacci numbers , also denoted as Fn, for...
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 25...
*フィボナッチ数列:フィボナッチの兎の問題 [#r23af51d]
In the West, the sequence was studied by Leonardo of Pisa...
In the "zeroth" month, there is one pair of rabbits (addi...
In the first month, the first pair begets another pair (a...
In the second month, both pairs of rabbits have another p...
In the third month, the second pair and the new two pairs...
The laws of this are that each pair of rabbits has 2 pair...
Let the population at month n be F(n). At this time, only...
*黄金数との関係 [#f37d886f]
フィボナッチ数Fnのnを大きくしていくと、続く2項の比 Fn+1...
Limit n--->∞ Fn+1/Fn = φ = (1+√5)/2 =1.61803
-Johannes Kepler observed that the ratio of consecutive F...
''Fnは黄金数φで表わされる''
Fn = [φ^n -(1-φ)^n ]/√5
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