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Enclosure Matrix
The problem gives you a positive integer n. You need to create a matrix consisting of n layers of natural numbers; the outermost...

11 meses hace

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Barnes G-Function
Evaluate the Barnes G-Function at a given (integral) value. %Example 1 in = 1; out = 1; %Example 1 in = 4; out = 2; ...

11 meses hace

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Compute the Dedekind psi function
Write a function to compute the Dedekind psi function. The values for n = 1, 2, 3, 4, 5, and 6 are 1, 3, 4, 6, 6, and 12.

11 meses hace

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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?

12 meses hace

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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?

12 meses hace

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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?

12 meses hace

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Return the sum of all even numbers in a vector
Write a function that takes a vector of integers and returns the sum of all even numbers.

12 meses hace

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Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...

12 meses hace

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q-dimensional Cartesian product
Your mission, should you choose to accept it, is to compute a q-dimensional Cartesian product, as follows. Let the input G be an...

12 meses hace

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Compute the tersum
The tersum, which appears in certain mathematical games, involves adding two numbers in base 3 without carry and converting back...

12 meses hace

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Identify winnable games of Take a Square
A game has a pile of tokens, and two players alternate in taking a certain number of tokens from the pile, with the constraint t...

alrededor de 1 año hace

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Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

alrededor de 1 año hace

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Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

alrededor de 1 año hace

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Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...

alrededor de 1 año hace

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Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...

alrededor de 1 año hace

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Padovan Polynomials
Hello there. I'm afraid I bear bad news - Anakin Skywalker is no longer a Jedi. But fear not young Padawan, we shall not falter...

alrededor de 1 año hace

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Total Area Covered by Overlapping Polygons
Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with t...

alrededor de 1 año hace

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Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

alrededor de 1 año hace

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Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...

alrededor de 1 año hace

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Dickson Polynomials
Return the coefficients of nth (n>=0) Dickson polynomial of the 1st kind as follows - 1st row of the output will be the coeffi...

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Multiply real numbers to get the smallest integers
Write a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest a...

alrededor de 1 año hace

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Cumulative Count
Given a row vector of integers with repeating values (with all repeating values occuring in a single continuous run), create an ...

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Grimm's Conjecture
Grimm's conjecture states that to each element of a set of consecutive composite numbers, one can assign a unique prime number t...

alrededor de 1 año hace

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find powers of two
find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n example: n = 23 result = [1 2 4 16] ...

alrededor de 1 año hace

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Search for seesaw primes
Cody Problem 60958 introduced seesaw numbers. A number is a seesaw number if the next smaller numbers can be placed on a seesa...

alrededor de 1 año hace

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Find the Prime Factors and Divisors of a Number
Given a positive integer n, find its prime factors as well as all of its divisors. Example: n=12 has prime factors [2,2,3] and ...

alrededor de 1 año hace

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List numbers that cannot be expressed as the sum of two primes
The Goldbach conjecture claims that even numbers greater than 2 can be expressed as the sum of two prime numbers. What about the...

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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?

alrededor de 1 año hace

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List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...

alrededor de 1 año hace

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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...

alrededor de 1 año hace