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Template:Sequence of the Day for July 26

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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

The line below marks the end of the <noinclude> ... </noinclude> section.



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)
 = 

2n  − 
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