|
Search: id:A113126
|
|
|
| A113126 |
|
A simple 4-diagonal matrix. |
|
+0
4
|
|
| 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 0, 2, 3, 4, 5, 0, 0, 3, 4, 5, 6, 0, 0, 0, 4, 5, 6, 7, 0, 0, 0, 0, 5, 6, 7, 8, 0, 0, 0, 0, 0, 6, 7, 8, 9, 0, 0, 0, 0, 0, 0, 7, 8, 9, 10, 0, 0, 0, 0, 0, 0, 0, 8, 9, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 11, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 11, 12, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list; table; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Row sums are A113127. Diagonal sums are A109613. Diagonals are A000027.
|
|
FORMULA
|
Number triangle where column k has g.f. (1+x+x^2+x^3)(k+1)x^k.
|
|
EXAMPLE
|
Triangle begins
1;
1,2;
1,2,3;
1,2,3,4;
0,2,3,4,5;
0,0,3,4,5,6;
0,0,0,4,5,6,7;
0,0,0,0,5,6,7,8;
0,0,0,0,0,6,7,8,9;
|
|
CROSSREFS
|
Cf. A113125.
Sequence in context: A057945 A115452 A039676 this_sequence A138060 A023121 A136261
Adjacent sequences: A113123 A113124 A113125 this_sequence A113127 A113128 A113129
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
|
|
|
Search completed in 0.002 seconds
|
