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Integer sequence - 2 : Kolakoski sequence
Get the n-th term of Kolakoski Sequence.

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Alternating sum
Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...

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Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

14 días hace

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Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...

14 días hace

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"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

15 días hace

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Sum the Infinite Series
Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...

15 días hace

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Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

15 días hace

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Sum of first n terms of a harmonic progression
Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

15 días hace

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Mersenne Primes vs. All Primes
A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

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Approximation of Pi (vector inputs)
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

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geometric progression
I've modified my <http://uk.mathworks.com/matlabcentral/cody/problems/2800-arithmetic-progression previous program> so that it n...

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arithmetic progression
I've written a program to generate the first few terms of <https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progr...

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Find similar sequences
Another problem inspired by a question on the <http://www.mathworks.com/matlabcentral/answers answers> forum. Given a matrix ...

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Generate Square Wave
Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...

17 días hace

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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

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Largest Geometric Series
Extension of Ned Gulley's wonderful Problem 317. In a geometric series, ratio of adjacent elements is always a constant value. ...

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Find the stride of the longest skip sequence
We define a _skip sequence_ as a regularly-spaced list of integers such as might be generated by MATLAB's <http://www.mathworks....

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

18 días hace

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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

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Make a random, non-repeating vector.
This is a basic MATLAB operation. It is for instructional purposes. --- If you want to get a random permutation of integer...

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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.

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Volume Pillar
Calculate the volume of a pillar with radius l and heigth ar.

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Convert radians to degrees
Given input in radians, output to degrees

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Perimeter of a semicircle
Given the diameter d, find the perimeter of a semicircle

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Given a square and a circle, please decide whether the square covers more area.
You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

18 días hace