The sum of the first n of these numbers is equal to n times quantity n plus 1 times quantity 2nplus 1 all over 6.
The sum of the first n of these numbers is equal to n times quantity n plus 1 times quantity 2nplus 1 all over 6. The cannonball problem asks whether one of these numbers of spheres can bearranged into a pyramid. Lagrange showed that every number can be written as the sum of at mostfour of these numbers, and the sum of the reciprocals of these numbers is equal to pi squared over 6.They are congruent to zero or one modulo four, which is the basis of (*) quadratic reciprocity. The sumof the first n odd numbers is equal to the nth of these numbers. Taking one of these numbers to the one-halfpower returns an integer. For 10 points, identify these numbers beginning 1, 4, 9, 16, which are equal tosome number multiplied by itself.
The sum of the first n of these numbers is equal to n times quantity n plus 1 times quantity 2nplus 1 all over 6.
square numbers [or perfect squares]