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A352967
Array read by antidiagonals: A(i, j) = abs(i - j) if min(i, j) < max(i, j) <= 2*min(i, j), and otherwise 0, with i >= 0 and j >= 0.
3
0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 2, 4, 0, 0, 0, 0
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OFFSET
0,24
LINKS
Table of n, a(n) for n=0..90.
EXAMPLE
The array begins:
0, 0, 0, 0, 0, 0, 0, 0, ...
0, 0, 1, 0, 0, 0, 0, 0, ...
0, 1, 0, 1, 2, 0, 0, 0, ...
0, 0, 1, 0, 1, 2, 3, 0, ...
0, 0, 2, 1, 0, 1, 2, 3, ...
0, 0, 0, 2, 1, 0, 1, 2, ...
0, 0, 0, 3, 2, 1, 0, 1, ...
0, 0, 0, 0, 3, 2, 1, 0, ...
...
MATHEMATICA
A[i_, j_]:=If[Min[i, j]<Max[i, j]<=2Min[i, j], Abs[j-i], 0]; Flatten[Table[A[i-j, j], {i, 0, 12}, {j, 0, i}]]
CROSSREFS
Cf.
A003983
,
A049581
,
A051125
,
A307018
(antidiagonal half-sums),
A353452
,
A353453
.
Sequence in context:
A069845
A091397
A119818
*
A331292
A331293
A335379
Adjacent sequences:
A352964
A352965
A352966
*
A352968
A352969
A352970
KEYWORD
nonn
,
tabl
AUTHOR
Stefano Spezia
, Apr 21 2022
STATUS
approved