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tri·an·gu·lar num·ber

noun

noun: triangular number; plural noun: triangular numbers

1. any of the series of numbers (1, 3, 6, 10, 15, etc.) obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, etc.

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Triangular number - Wikipedia

https://en.wikipedia.org/wiki/Triangular_number

A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right. The nth triangular number is the number of dots in the triangular arrangement with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n.

‎Triangular square number · ‎Tetrahedral number · ‎Centered triangular

Triangular Number -- from Wolfram MathWorld

mathworld.wolfram.com › ... › MathWorld Contributors › Gillette, Megan

by EW Weisstein - ‎2002 - ‎Cited by 7 - ‎Related articles

The triangular number is therefore the additive analog of the factorial . A plot of the first few triangular numbers represented as a sequence of binary bits is shown above. The top portion shows to , and the bottom shows the next 510 values. The odd triangular numbers are given by 1, 3, 15, 21, 45, 55, ...