Heptagonal Number - Generalized Heptagonal Numbers

Generalized Heptagonal Numbers

A generalized heptagonal number is obtained by the formula

where Tn is the nth triangular number. The first few generalized heptagonal numbers are:

1, 4, 7, 13, 18, 27, 34, 46, 55, 70, 81, 99, 112, … (sequence A085787 in OEIS)

Every other generalized heptagonal number is a regular heptagonal number. Besides 1 and 70, no generalized heptagonal numbers are also Pell numbers.

Read more about this topic:  Heptagonal Number

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