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!)
A185916 Weight array of A185914, by antidiagonals. 3
1, 1, -1, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1
COMMENTS
A member of the accumulation chain ... < A185916 < A185914 < A185915 < ...
(See A144112 for definitions of weight array and accumulation array.)
LINKS
FORMULA
T(1,k)=1 for k>=1; T(n,n+1)=-1 for n>=2; T(n,k)=0 otherwise; for k>=1, n>=1.
EXAMPLE
Northwest corner:
1, 1, 1, 1, 1, 1, 1
-1, 0, 0, 0, 0, 0, 0
0, -1, 0, 0, 0, 0, 0
0, 0, -1, 0, 0, 0, 0
0, 0, 0, -1, 0, 0, 0
0, 0, 0, 0, -1, 0, 0
MATHEMATICA
f[n_, 0] := 0; f[0, k_] := 0; f[n_, k_] := k - n + 1; f[n_, k_] := 0 /; k < n; w[m_, n_] := f[m, n] + f[m - 1, n - 1] - f[m, n - 1] - f[m - 1, n] /; Or[m > 0, n > 0]; Table[w[n - k + 1, k], {n, 50}, {k, n, 1, -1}] // Flatten
CROSSREFS
Sequence in context: A302203 A130657 A347871 * A084846 A285498 A285504
KEYWORD
tabl,sign
AUTHOR
Clark Kimberling, Feb 06 2011
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 April 24 15:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)