Hexagonal pyramidal number
Hexagonal pyramidal number
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A hexagonal pyramidal number is a pyramidal number formed by adding the first n hexagonal numbers. The first few hexagonal pyramidal numbers are:
1, 7, 22, 50, 95, 161, 252, 372, 525, 715, 946, 1222, 1547, 1925 (sequence A002412 in the OEIS).
The nth number in this sequence, representing the sum of the first n hexagonal numbers, is given by the formula
- n(n+1)(4n−1)6.{displaystyle {frac {n(n+1)(4n-1)}{6}}.}
References[edit]
- Hexagonal pyramidal number at MathWorld
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