Fibonacci sequence: Difference between revisions

Revision as of 12:17, 3 July 2025

Revision as of 12:17, 3 July 2025

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Under some older definitions, the value <math>F_0 = 0</math> is omitted, so that the sequence starts with <math>F_1=F_2=1,</math> and the recurrence <math>F_n=F_{n-1} + F_{n-2}</math> is valid for {{math|''n'' > 2}}.{{Sfn | Beck | Geoghegan | 2010}}{{Sfn | Bóna | 2011 | p=180}} <!--Fibonacci started the sequence with index 0: {{math|₀→1, ₁→2, ₂→3, ..., ₁₂→377}}.<ref>{{citation |last1=Leonardo da Pisa |title=File:Liber abbaci magliab f124r.jpg - Wikimedia Commons |date=1202 |url=https://commons.wikimedia.org/wiki/File:Liber_abbaci_magliab_f124r.jpg |language=en}}</ref>-->

The first 2030 Fibonacci numbers {{math|''F_n''}} are:

:{| class="wikitable" style="text-align:right"

! {{math|''F''₀}}