Question

Prove that the total binary sequences of length n with no consecutive 1s is Fib(n+1) .

score 205 · Answer 1 · 2026-04-06 12:18:23

205

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Prove that the total binary sequences of length n with no consecutive 1s is Fib(n+1) .

Published on 06 Apr 2026 - 12:18

score 20 · Answer 2 · 2022-11-10 07:02:13

20

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How to deal with a function that at every natural input has an output in different base?

Published on 10 Nov 2022 - 7:02

score 69 · Answer 3 · 2026-03-28 01:13:45

69

Views

How do you get the characteristic polynomial of a recursion?

Published on 28 Mar 2026 - 1:13

score 190 · Answer 4 · 2026-03-28 16:13:32

190

Views

Prove $T(n)=2F(n+1)-1$ by induction. Please read body for full question.

Published on 28 Mar 2026 - 16:13

score 132 · Answer 5 · 2026-04-09 08:29:26

132

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How to use recursion to define a number series in maple

Published on 09 Apr 2026 - 8:29

score 728 · Answer 6 · 2022-11-28 18:05:40

728

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Show that whenever $n ≥ 3$, $f(n) > αn−2$, where $α = (1 + \sqrt{5})/2$.

Published on 28 Nov 2022 - 18:05

score 131 · Answer 7 · 2026-03-28 11:03:48

131

Views

Prove the existence of $f$ and why the function $f_n$ is constructed

Published on 28 Mar 2026 - 11:03

score 211 · Answer 8 · 2022-12-08 12:50:30

211

Views

Is this deck order search game well-known/studied?

Published on 08 Dec 2022 - 12:50

score 322 · Answer 9 · 2026-04-02 13:26:01

322

Views

Intuitively, why aren't all points in a circle covered in an Apollonian gasket?

Published on 02 Apr 2026 - 13:26

score 111 · Answer 10 · 2022-12-09 19:19:17

111

Views

Proof of Recursion Theorem - why is this allowed?

Published on 09 Dec 2022 - 19:19

score 83 · Answer 11 · 2026-04-02 13:31:28

83

Views

Has anyone seen this branching recursive sum before?

Published on 02 Apr 2026 - 13:31

score 54 · Answer 12 · 2026-03-28 10:31:16

54

Views

Second order recurrence relation when initial term is defined for $n$ different from $0$ (characteristic root method)

Published on 28 Mar 2026 - 10:31

score 41 · Answer 13 · 2026-04-07 22:44:43

41

Views

Question about a recursive definition of an algorithm

Published on 07 Apr 2026 - 22:44

score 104 · Answer 14 · 2022-12-11 17:49:28

104

Views

Express $x^{x^{x^{x^{x...}}}}$ in the form of a limit.

Published on 11 Dec 2022 - 17:49

score 156 · Answer 15 · 2026-03-30 05:12:09

156

Views

Construction of Factorial as a Recursive Function from Initial Functions and Closure Operations

Published on 30 Mar 2026 - 5:12

List Question

Prove that the total binary sequences of length n with no consecutive 1s is Fib(n+1) .

How to deal with a function that at every natural input has an output in different base?

How do you get the characteristic polynomial of a recursion?

Prove $T(n)=2F(n+1)-1$ by induction. Please read body for full question.

How to use recursion to define a number series in maple

Show that whenever $n ≥ 3$, $f(n) > αn−2$, where $α = (1 + \sqrt{5})/2$.

Prove the existence of $f$ and why the function $f_n$ is constructed

Is this deck order search game well-known/studied?

Intuitively, why aren't all points in a circle covered in an Apollonian gasket?

Proof of Recursion Theorem - why is this allowed?

Has anyone seen this branching recursive sum before?

Second order recurrence relation when initial term is defined for $n$ different from $0$ (characteristic root method)

Question about a recursive definition of an algorithm

Express $x^{x^{x^{x^{x...}}}}$ in the form of a limit.

Construction of Factorial as a Recursive Function from Initial Functions and Closure Operations

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