The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A096601 Triangle (read by rows) where the number of row entries increases by steps of 2 and the entries are stacked in a rectangular fashion. The end entries are set to 1. Rest of entries are set to the sum of the entry directly above in the previous row plus the entry (if present) in the previous row that is either to the left (if the current row number is even) or to the right (if odd). 0

%I #8 Aug 10 2020 11:12:10

%S 1,1,1,1,1,2,2,1,1,1,1,3,4,3,2,1,1,2,4,7,7,5,3,1,1,1,1,3,6,11,14,12,8,

%T 4,2,1,1,2,4,9,17,25,26,20,12,6,3,1,1,1,1,3,6,13,26,42,51,46,32,18,9,

%U 4,2,1,1,2,4,9,19,39,68,93,97,78,50,27,13,6,3,1,1

%N Triangle (read by rows) where the number of row entries increases by steps of 2 and the entries are stacked in a rectangular fashion. The end entries are set to 1. Rest of entries are set to the sum of the entry directly above in the previous row plus the entry (if present) in the previous row that is either to the left (if the current row number is even) or to the right (if odd).

%C The row sums are 2^n-1 (A000225). Shares many entries with A027926., e.g. the 'central column' (and greatest numbers in the rows) is A027988 (Greatest number in row n of array T given by A027926.)

%e ........................1........................

%e .....................1..1..1.....................

%e ..................1..2..2..1..1..................

%e ...............1..1..3..4..3..2..1...............

%e ............1..2..4..7..7..5..3..1..1............

%e .........1..1..3..6.11.14.12..8..4..2..1.........

%e ......1..2..4..9.17.25.26.20.12..6..3..1..1......

%e ...1..1..3..6.13.26.42.51.46.32.18..9..4..2..1...

%e 1..2..4..9.19.39.68.93.97.78.50.27.13..6..3..1..1

%Y Cf. A000225, A027926, A027988.

%K nonn,tabf

%O 1,6

%A _Gerald McGarvey_, Aug 14 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 11:06 EDT 2024. Contains 376010 sequences. (Running on oeis4.)