| Square Pyramidal Number |
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: that is, by adding up the Squares of the first ''n'' Integer s, or by multiplying the ''n''th Heteromecic Number by the ''n''th odd number. By Mathematical Induction it is possible to derive one formula from the other. The first few pyramidal numbers are: 1 , 5 , 14 , 30 , 55 , 91 , 140 , 204, 285, 385, 506, 650, 819 . The pyramidal numbers can also be expressed as sums of Binomial Coefficient s thus:
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