Triangular Number/Sequence

Definition

The sequence of triangular numbers, for $n \in \Z_{\ge 0}$, begins:

$0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, \ldots$

This sequence is A000217 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Sources

  • 1971: George E. Andrews: Number Theory ... (next): $\text {1-1}$ Principle of Mathematical Induction: Table $\text{1-1}$
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $15$
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): Tables: $1$ The First $100$ Triangular Numbers, Squares and Cubes
  • 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 ($\text {1601}$ – $\text {1665}$)
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $15$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): Tables: $1$ The First $100$ Triangular Numbers, Squares and Cubes
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): triangular number
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): triangular number
  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): triangular number
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