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Easy Sequences 94: GCD Sums
Given positive integer , write the function gSum(x), that sums all the GCD's of the integer pairs . For example in the Excel scr...

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The Yellowstone Permutation
The Yellowstone Permutation is a sequence of positive integers, defined by the following rules: No term is repeated. Given n t...

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Solve an equation involving primes and fractions
Write a function to find pairs of primes and satisfying the equation where is an integer. The function should take a numbe...

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Compute frequency factors for the normal distribution
In frequency analysis in hydrology, the streamflow corresponding to a specified exceedance probability (or return period ) can...

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Determine flows of given probability using empirical frequency analysis
Write a function that takes as input observations of peak streamflow and exceedance probabilities expressed as percentages an...

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Find patterns in subprime Fibonacci sequences
Lots of Cody problems involve Fibonacci and Collatz sequences. Fibonacci sequences start with two numbers, and later terms are c...

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Is this triangle right-angled (mixed sides)?
Implement function returning if triangle is right angled or not? Input argument is vector row with not ordered triangle sides. ...

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Hermite Polynomials
Problem 1304 deals with Hermite polynomial of the physicist's type. In this problem, Return the n-th Hermite polynomial of the ...

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About jokes (and compression)
An argument can be made about jokes. The shorter they are, the funnier. Further explained here: https://en.wikipedia.org/wiki/Hu...

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Counting Permutations
In the permutations of the numbers 1 to n, count the number of permutations in which exactly m elements are greater than the pre...

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Compute the area of the shoemaker’s knife
A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter with two semicircular “bites” of diameter...

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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...

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Compute the Lagarias Riemann Hypothesis sequence
Write a function that takes an input number and produces a sequence (i.e., all values up to and including the th value) compute...

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Compute a nested cube root
Consider the quantity . Write a function to compute without using loops or recursion.

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Exact Cover
An efficient solution to the exact cover problem can be useful in many situations. In this problem, you are welcome to use Knuth...

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Intersection points of a polynomial
Find the intersection points of a polynomial, given by its vector of coefficients with the X-axis and the Y-axis. Input: a poly...

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Harmonic series counting
The function takes a positive limit as input, And counts how many terms must be summed in the harmonic series: 1/1, 1/2, 1/3, ...

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Easy Sequences 86: The "real" Hyperprimorials
In Easy Sequences 85, we define the hyperprimorial of , as a exponent ladder of primes numbers from the -th prime down to first ...

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Dyck words
A Dyck word can be considered as a string of n X's and n Y's arranged to have at least as many X's in an initial segment of the ...

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Sum the unitary divisors of a number
Cody Problems 1933 and 46898 deal with , the sum of divisors function. This problem deals with , the sum of unitary divisors fun...

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Count the unitary divisors of a number
Cody Problem 56738 asks for a list of the unitary divisors of a number. For this problem, write a function to count the unitary ...

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IQpuzzler Challenge #2: Find all possible solutions on an empty 4-by-5 board with 5 pieces, rotating and flipping pieces allowed
We are playing a simplified version of IQpuzzler, with a smaller board of 4-by-5 spaces and just 5 pieces, as shown in the pictu...

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Digits of Powers of 2
In Project Euler Problem #16, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that. Give...

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List unitary divisors of a number
A unitary divisor of a number divides and satisfies gcd(,) = 1. For example, 9 is a unitary divisor of 18 because gcd(9,2) = ...

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IQpuzzler Challenge #1: Find all possible solutions with 2 pieces already on the board and fixed orientation of all other pieces
IQpuzzler is a one player board game. The 2D version provides a rectangular board with 5-by-11 spaces and 12 colored pieces (con...

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Acid-Base Chemistry: Which side of the reaction is more favorable?
In an Acid-Base reaction, there is always going to be an acid, a base, a conjugate acid, and a conjugate base. When provided wit...

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Just square the input
Square the number

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Is the number of 1s in a binary integer odd or even?
Your function should turn the input integers into binary form and count the number of 1s in the binary. If the number is odd, re...

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List numbers that are not in the Fibonacci sequence
In the list of 4797 Cody problems, 53 deal with or refer to the Fibonacci sequence.* What about the other numbers? Write a funct...

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List the nth term of Rozhenko’s inventory sequence
Consider a sequence constructed by repeated inventories. A new inventory begins each time a zero is encountered. The first few i...

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