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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?
10 days 前
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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?
10 days 前
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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?
10 days 前
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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 days 前
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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...
16 days 前
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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...
17 days 前
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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...
18 days 前
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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...
29 days 前
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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...
1 month 前
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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]...
1 month 前
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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...
1 month 前
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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 ...
1 month 前
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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...
1 month 前
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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...
1 month 前
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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 ...
1 month 前
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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)...
1 month 前
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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...
2 months 前
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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...
2 months 前
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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 ...
2 months 前
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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...
2 months 前
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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] ...
2 months 前
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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...
2 months 前
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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 ...
3 months 前
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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...
3 months 前
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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?
3 months 前
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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...
3 months 前
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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...
3 months 前
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Determine whether a number is a seesaw number
Cody Problem 60957 dealt with balanced primes. In that case, balance was measured in terms of the average of primes around a giv...
3 months 前
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Chek the Delta = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...
3 months 前
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List balanced primes
A balanced prime of order is one that equals the average of the primes before it and the primes after it. For example, 79 is ...
4 months 前
