Angka Fibonacci

Angka Fibonacci mangrupakeun runtuyan angka nu dimimitian ku digit 0 jeung 1, sarta unggal nilai saterusna mangrupa jumlah tina dua saméméhna.

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Formula runtuyan Fibonacci

Angka Fibonacci

Salaku conto:

  • F0 = 0
  • F1 = 1
  • F2 =F1+F0 = 1+0 = 1
  • F3 =F2+F1 = 1+1 = 2
  • F4 =F3+F2 = 2+1 = 3
  • F5 =F4+F3 = 3+2 = 5

Bagian Emas

Babandingan dua angka Fibonacci padeukeut converges kana rasio emas:

Angka Fibonacci

di mana φ nyaéta rasio emas = (1 + √5) / 2 ≈ 1,61803399

Paling sering, nilai ieu rounded nepi ka 1,618 (atawa 1,62). Sareng dina persentase buleud, proporsi sapertos kieu: 62% sareng 38%.

Fibonacci Runtuyan Table

n00
11
21
32
43
55
68
713
821
934
1055
1189
12144
13233
14377
15610
16987
171597
182584
194181
206765
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C-kode (C-kode) fungsi

ganda Fibonacci(unsigned int n) { ganda f_n = n; ganda f_n1=0.0; ganda f_n2=1.0; lamun(n > 1) {pikeun(int k=2; k<=n; k++) {f_n = f_n1 + f_n2; f_n2 = f_n1; f_n1 = f_n; }} balikkeun f_n; } 

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