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Easy Sequences 42: Areas of Non-constructible Polygons
A constructible polygon is a regular polygon that can be constructed using only a compass and a straightedge. Amazingly, Gauss ...
9 mesi fa
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Easy Sequences 37: Natural Factorable Polynomials
A polynomial of the form: , for , is said to be natural factorable if it can be factored into products of first degree binomials...
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Easy Sequences 93: Recursive Polynomial Function
For a natural number and a polynomial function , we define a recursive function , as follows: , and ...
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Easy Sequences 29: Odd proper divisors of odd proper divisors
The number is special. It has odd number of proper divisors: . Furthermore, if you take any of its proper divisors, say , it t...
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Easy Sequences 22: Sum of Proper Fractions
Let 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:...
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Easy Sequences 36: Hyperbolic Lattice Points
The graph, shown below, of the hyperbola: , passes through four positive lattice points:. ...
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Easy Sequences 17: Mu Variant Function
The mobius function is an important arithmetic function. It is often represented by the Greek letter mu (μ), and is sometimes ca...
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Easy Sequences 35: Cutting a donut to Semi-prime pieces
The figure below illustrates how a torus (donut shape) can be cut in pieces with only cuts: ...
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Recaman Sequence - III
I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...
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Recaman Sequence - II
Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...
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Recaman Sequence - I
Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...
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Birthday cake
It's Cody's 5th birthday, and you've been tasked with putting the candles on the cake. Your goal is to maximize the distance bet...
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Easy Sequences 20: Counting Prime-sided Rectangles
A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-...
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Easy Sequences 19: Length of Prime-sided Rectangle with Maximum Area
A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-...
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Easy Sequences 3: Prime 44-number Squares
The positive integers 62 and 238 are related. Their squares (3844 and 56,644) both end in '44'. In fact, 62 and 238 are the 3rd ...
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Sum the Digits of a Number
Given an integer, sum the digits repeatedly until you end up with a single value less than 10. For example, if you add the di...
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Modify subscripts - easier
MATLAB supports object-oriented programming. Let's take an advantage of it in cody. This problem focus on modifying subscript...
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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? <<https://imgur.com/x6hT6mm.png>> ...
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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. <<https://imgur...
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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...
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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...
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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...
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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...
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Read a column of numbers and interpolate missing data
Given an input cell array of strings s, pick out the second column and turn it into a row vector of data. Missing data will be i...
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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...
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Find the peak 3n+1 sequence value
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
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Easy Sequences 1: Find the index of an element
The nth element of a series is defined by: . Obviously, the first element . Given the nth element , find the value of the corre...
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Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence
The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F,...
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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...
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