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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A165194 Triangle of 2^n terms by rows, left half of (n+1)-th row = row n; right half = "reverse and increment" row n; using terms in A000110. 3
1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 5, 2, 1, 1, 1, 2, 1, 2, 5, 2, 1, 1, 2, 5, 15, 5, 2, 5, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,6
COMMENTS
Row sums = A000110, the Bell sequence starting with offset 1; (1, 2, 5, 15,...).
Rows tend to A165195.
LINKS
FORMULA
Given the Bell sequence, A000110: (1, 1, 2, 5, 15,...); row 1 = 1, row 2 =
(1, 1);...where left half of row (n+1) = row n. Right half of row (n+1)
= reversal of row n, replacing terms with the next Bell number.
EXAMPLE
First few rows of the triangle =
1;
1, 1;
1, 1, 2, 1;
1, 1, 2, 1, 2, 5, 2, 1;
1, 1, 2, 1, 2, 5, 2, 1, 2, 5, 15, 5, 2, 5, 2, 1;
...
For example: row 4, left half = (1, 1, 2, 1); right half = (1, 2, 1, 1)
replaced with the next higher Bell numbers: (2, 5, 2, 1). Appending the two \kQ halves, we obtain row 4: (1, 1, 2, 1, 2, 5, 2, 1), sum = 15 = A000110(4).
CROSSREFS
Sequence in context: A331310 A241597 A074807 * A002951 A331287 A365105
KEYWORD
nonn,tabf
AUTHOR
Gary W. Adamson, Sep 06 2009
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 06:29 EDT 2024. Contains 370953 sequences. (Running on oeis4.)