A000312

A000312 is an integer sequence in the On-Line Encyclopedia of Integer Sequences (OEIS). It is described as the "Central polygonal numbers" or "Lazy caterer's sequence". The sequence begins with 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, and so on. This sequence represents the maximum number of pieces a circle can be divided into by a given number of straight cuts. The formula for the nth term of the sequence is given by n(n+1)/2 + 1, where n is the number of cuts. It can also be expressed as the sum of the first n integers plus one. This sequence has applications in various fields, including geometry and combinatorics.