* عدد ممركز مثلثي 1 - 4 - 10 - 19 - 31 - ...* عدد ممركز مربعي 1 - 5 - 13 - 25 - 41 - ...* عدد ممركز مخمسي 1 - 6 - 16 - 31 - 51 - ...* عدد ممركز مسدسي 1 - 7 - 19 - 37 - 61 - ...* عدد ممركز مسبع 1 - 8 - 22 - 43 - 71 - ...* عدد ممركز مثمني 1 - 9 - 25 - 49 - 81 - ...* عدد ممركز تساعي 1 - 10 - 28 - 55 - 91 - ...* عدد ممركز عشاري 1 - 11 - 31 - 61 - 101 - ...* Neil Sloane & سيمون بلوف, "The Encyclopedia of Integer Sequences".
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.