Definition:Heptagonal Pyramidal Number
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Definition
Heptagonal pyramidal numbers are those denumerating a collection of objects which can be arranged in the form of a heptagonal pyramid.
The $n$th heptagonal pyramidal number $Q_n$ is defined as:
- $\ds Q_n = \sum_{k \mathop = 1}^n H_k$
where $H_k$ is the $k$th heptagonal number.
Sequence
The sequence of heptagonal pyramidal numbers begins as follows:
- $0, 1, 8, 26, 60, 115, 196, 308, 456, 645, 880, 1166, 1508, 1911, 2380, \ldots$
Also see
- Definition:Pyramidal Number
- Definition:Tetrahedral Number
- Definition:Square Pyramidal Number
- Definition:Pentagonal Pyramidal Number
- Definition:Hexagonal Pyramidal Number
- Results about heptagonal pyramidal numbers can be found here.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $196$