Hectagonal number

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A hectagonal number is a type of polygonal number, which in turn is a type of figurate number. It is so named because it can be arranged to form a hectagon, which is a 100 sided polygon. If H_n is the nth hectagonal number then H_n = n(49n − 48). The first few hectagonal numbers are:

1, 100, 297, 592, 985, 1476, 2065, 2752, 3537, 4420, 5401, 6480, 7657, 8932, 10305, 11776, 13345, 15012, 16777, 18640.

Since hectagon is not the universally agreed upon name for a 100 sided figure, these numbers may go by another name. See article polygon for discussion.