Template:Sequence of the Day for April 16

Intended for: April 16, 2013

Timetable

• First draft entered by Alonso del Arte on April 9, 2012 ✓
• Draft reviewed by Daniel Forgues on April 13, 2016 ✓
• Draft to be approved by March 16, 2013

Yesterday's SOTD * Tomorrow's SOTD

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A029635: The “Lucas” triangle.

						2
					1		2
				1		3		2
			1		4		5		2
		1		5		9		7		2
	1		6		14		16		9		2
1		7		20		30		25		11		2

This variant of Pascal’s triangle gives the Lucas numbers in a manner analogous to how the original triangle gives the Fibonacci numbers. If you follow the diagonals indicated by the color-coding, you will see that they add up to the Lucas numbers as listed in A000032.