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Integer Sequence - II : New Fibonacci

Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also ...

4 months ago

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Return the Fibonacci Sequence

Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...

4 months ago

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences

This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

4 months ago

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Is X a Fibonacci Matrix?

In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

4 months ago

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Fibonacci Decomposition

Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

4 months ago

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How many Fibonacci numbers?

Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

4 months ago

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Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

4 months ago

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Number of Even Elements in Fibonacci Sequence

Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

4 months ago

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Fibonacci-Sum of Squares

Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

4 months ago

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Fibonacci sequence

Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

4 months ago

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Number of 1s in the Binary Representation of a Number

*Description* Return the number of 1s in the (unsigned integer) binary representation of a number. This function should be ab...

4 months ago

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Increment a number, given its digits

Take as input an array of digits (e.g. x = [1 2 3]) and output an array of digits that is that number "incremented" properly, (i...

4 months ago

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The Matrix Construction

Given two input ,first one is CN (Column Number), Second one is Dim Can you produce such a matrix for example CN=6; Dim=2 ...

4 months ago

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Pascal's pyramid

In Pascal's triangle each number is the sum of the two nearest numbers in the line above: 1 1 1 ...

4 months ago

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Numbers spiral diagonals (Part 2)

Inspired by Project Euler n°28 and 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the righ...

4 months ago

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Triangular matrices in 3D array

Given a 3D numeric array _x_, return an array _y_ of the same size in which all entries to the right of the main diagonal are ze...

4 months ago

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BULLSEYE Part 2: Reference Problem 18 BULLSEYE

Given n (always odd), return output a that has concentric rings of the 1s and 0s around the center point. Examples: Input ...

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Calendar Matrix

Return a calendar matrix for the given values of month and year. Assume that Sunday is the first day of the week. The resulting ...

4 months ago

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Create a block diagonal matrix

A block diagonal matrix is a square matrix that can be written as A = [a 0 0 0 0 b 0 0 0 0 c 0 ...

4 months ago

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Generate this matrix

For a given odd integer n, generate a matrix as follows: Input: n = 5; Output: [ 2 1 0 0 0 1 ...

4 months ago

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Numbers spiral diagonals (Part 1)

Inspired by Project Euler n°28 et 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right...

4 months ago

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ZigZag matrix with reflected format

ZigZag MATRIX with REFLECTED format. We have only input x. We have to create a matrix in the following pattern. input n=5...

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Rainbow matrix

Create a "rainbow matrix" as described in the following examples Input = 3 Output = [ 1 2 3 2 3 2 ...

4 months ago

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Matrix Construction I

Given n, construct a matrix as shown in the example below. Example For n=8, the output should look like this: 1 2 3 4 ...

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Generate this matrix

Generate the following matrix. n = 2; out = [-4 -3 -2 -1 0 -3 -2 -1 0 1 -...

4 months ago

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Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

4 months ago

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Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

4 months ago

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Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<http://upload...

4 months ago

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Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

4 months ago

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Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<http://upload.wikimedia.org/wikipe...

4 months ago