These series consist of the*centered triangular numbers 1,4,10,19,31...*centered square numbers 1,5,13,25,41... ()*centered pentagonal numbers 1,6,16,31,51... ()*centered hexagonal numbers 1,7,19,37,61... ()*centered heptagonal numbers 1,8,22,43,71... ()*centered octagonal numbers 1,9,25,49,81... ()*centered nonagonal numbers 1,10,28,55,91... (, which include all even perfect numbers except 6)*centered decagonal numbers 1,11,31,61,101... ()and so on.