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Heptagonal pyramidal number

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Heptagonal pyramidal number

In mathematics, a heptagonal pyramidal number is a figurate number representing the number of dots in a three-dimensional pattern in the shape of a heptagonal pyramid.[1]

The first few heptagonal pyramidal numbers are:[2]

1, 8, 26, 60, 115, 196, 308, 456, 645, 880, 1166, 1508, 1911, ... (sequence A002413 in OEIS)

The nth heptagonal number can be calculated by adding up the first n heptagonal numbers, or more directly by using the formula[1][2]

\frac{n(n+1)(5n-2)}{6}.

References

  1. ^ a b Deza, Elena;  .
  2. ^ a b Beiler, Albert H. (1966), Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, Courier Dover Publications, p. 194,  .
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