Dodecagonal number

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In mathematics, a dodecagonal number is a figurate number that represents a dodecagon. The dodecagonal number for n is given by the formula

Contents

The first few dodecagonal numbers are:

0, 1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 793, 924, 1065, 1216, 1377, 1548, 1729, ... (sequence A051624 in the OEIS )

Properties

Sum of reciprocals

A formula for the sum of the reciprocals of the dodecagonal numbers is given by

See also