A pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1, either from left to right or from right to left.
The first few pentatope numbers are: 5, 15, 35, 70, 126, 210, 330, 495, 715, 1001, 1365, …
68 of the first one million positive integers are pentatope.
Learn more about pentatope numbers on wikipedia.
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