Template:Sequence of the Day for July 26

Intended for: July 26, 2012

Timetable

• First draft entered by Alonso del Arte on April 29, 2011 as a verbatim copy of a write-up from November 19, 2010. ✓
• Draft reviewed by Alonso del Arte on July 22, 2011 ✓
• Draft approved by Daniel Forgues on July 24, 2011 ✓

Yesterday's SOTD * Tomorrow's SOTD

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A034872: Central column of Lozanić’s triangle.

{ 1, 1, 1, 2, 4, 6, 10, 19, 38, 66, 126, 236, 472, 868, ... }

Note that although the values of odd-numbered columns are only listed once, they appear twice in the triangle.

Lozanić’s triangle

																				A005418 Row sums: ∑ n i  = 0  T  (n, i)  =  2 n  −  3 + ( − 1) n +1 2 C (2 ( ⌊  n / 2⌋ + 1), ⌊  n / 2⌋  −  1)
n = 0										1										1 = 1 − 1 ⋅ 0
1									1		1									2 = 2 − 2 ⋅ 0
2								1		1		1								3 = 4 − 1 ⋅ 1
3							1		2		2		1							6 = 8 − 2 ⋅ 1
4						1		2		4		2		1						10 = 16 − 1 ⋅ 6
5					1		3		6		6		3		1					20 = 32 − 2 ⋅ 6
6				1		3		9		10		9		3		1				36 = 64 − 1 ⋅ 28
7			1		4		12		19		19		12		4		1			72 = 128 − 2 ⋅ 28