Triangular Number/Examples
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Examples of Triangular Numbers
The first few triangular numbers are as follows:
Sequence of Triangular Numbers
The sequence of triangular numbers, for $n \in \Z_{\ge 0}$, begins:
- $0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, \ldots$
Sources
- 1980: David M. Burton: Elementary Number Theory (revised ed.) ... (previous) ... (next): Chapter $1$: Some Preliminary Considerations: $1.3$ Early Number Theory: Problems $1.3$: $1$
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): figurate numbers: Fig. $160 \ \text{(a)}$
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.2$: Pythagoras (ca. $\text {580}$ – $\text {500}$ B.C.)
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.13$: Fermat ($\text {1601}$ – $\text {1665}$)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): triangular number