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Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

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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 ...

3年以上前

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Project Euler: Problem 5, Smallest multiple
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

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Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

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Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

3年以上前

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Triangle sequence
A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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Find Logic 8

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Find Logic 7

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Find Logic 6

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Find Logic 4

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Find Logic 3

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)
Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

3年以上前

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

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Pi Estimate 1
Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Calculate area of sector
A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...

3年以上前

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Pizza!
Given a circular pizza with radius z and thickness a, return the pizza's volume. [ z is first input argument.] Non-scored bonus...

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Find x rows where the sum of the numbers is the maximum
Find x rows where the sum of the numbers is the maximum. For example: when x is 2 and m is 2 3 5 0 2 3 5 5 6 0 9 4 then y =...

3年以上前

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Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as |y = A.ⅇ^(-λt)*cos(2πft)| where |A|, |λ|, and |f| ...

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Find Logic 1

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Find the maximum number of decimal places in a set of numbers
Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not count...

3年以上前

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Check that number is whole number
Check that number is whole number Say x=15, then answer is 1. x=15.2 , then answer is 0. http://en.wikipedia.org/wiki/Whole_numb...

3年以上前

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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Input...

3年以上前

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Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?

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Sum of series VIII

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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
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)

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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?

3年以上前