Fibonacci sequence: Difference between revisions

Revision as of 08:26, 11 May 2025

Revision as of 08:49, 11 May 2025

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The first 20 Fibonacci numbers {{math|''F_n''}} are:

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

! m/n

! {{math|''F''₀}}

|! 1

! {{math|''F''₁}}

|! 2

! {{math|''F''₂}}

|! 3

! {{math|''F''₃}}

! 4

! {{math|''F''₄}}

|! 5

! {{math|''F''₅}}

! formula

! {{math|''F''₆}}

! {{math|''F''₇}}

! {{math|''F''₈}}

! {{math|''F''₉}}

! {{math|''F''₁₀}}

! {{math|''F''₁₁}}

! {{math|''F''₁₂}}

! {{math|''F''₁₃}}

! {{math|''F''₁₄}}

! {{math|''F''₁₅}}

! {{math|''F''₁₆}}

! {{math|''F''₁₇}}

! {{math|''F''₁₈}}

! {{math|''F''₁₉}}

|-

|! 01

| 1

| 1

| 2

| 3

| 5

| 8

| 1364

| 21512

| 344,096

| 5532,768

| <math>8^b</math>

| 89

|-

| 144

! 2

| 233

| 3778

| 16,777,216

| 610

| <math>8^{16{,}777{,}216}</math>

| 987

| <math>8^{8^{16{,}777{,}216}}</math>

| 1597

| <math>8^{8^{8^{16{,}777{,}216}}}</math>

| 2584

| <math>8\uparrow\uparrow b</math>

| 4181

|-

! 3

| 18

| <math>\begin{matrix}\underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ \underbrace{8_{}^{8^{{}^{.\,^{.\,^{.\,^8}}}}}}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>8\uparrow\uparrow\uparrow b</math>

|-

! 4

| 898

| <math>\begin{matrix}\underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ 8\mbox{ coples of }8 \end{matrix}</math>

| <math>\begin{matrix}\underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ \underbrace{^{^{^{^{^{8}.}.}.}8}8}\\ 8\mbox{ coples of }8 \end{matrix}</math>

|}