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!)
A147768 Triangle read by rows: A000012^(-2) * A027293 as infinite lower triangular matrices. 1
1, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, 0, 1, -1, 1, 0, 1, 0, 1, -1, 1, 2, 0, 1, 0, 1, -1, 1, 0, 2, 0, 1, 0, 1, -1, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1, 4, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1, 2, 4, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,22
COMMENTS
Row sums = A002865, (1, 0, 1, 1, 2, 2, 4, 4, 7, 8,...).
This triangle is the lower right half of a Toeplitz matrix. Each column of this triangle has the form [1, -1] U A053445. - Georg Fischer, Jul 28 2023
LINKS
FORMULA
A000012^(-1) is the pairwise difference operator, and A027293 = a triangle with A000041 in every column.
Equals A185018 * A027293 since A000012^2 = A004736 and A004736^(-1) = A185018. - Georg Fischer, Jul 28 2023
EXAMPLE
First few rows of the triangle =
1;
-1, 1;
1, -1, 1;
0, 1, -1, 1;
1, 0, 1, -1, 1;
0, 1, 0, 1, -1, 1;
2, 0, 1, 0, 1, -1, 1;
0, 2, 0, 1, 0, 1, -1, 1;
3, 0, 2, 0, 1, 0, 1, -1, 1;
1, 3, 0, 2, 0, 1, 0, 1, -1, 1;
4, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1;
2, 4, 1, 3, 0, 2, 0, 1, 0, 1, -1, 1;
...
CROSSREFS
Sequence in context: A364357 A052344 A339375 * A167746 A360616 A050370
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Nov 11 2008
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 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)