|
|
A126126
|
|
Triangle read by rows: matrix inverse of A110877.
|
|
4
|
|
|
1, -1, 1, 2, -4, 1, -5, 13, -7, 1, 13, -40, 33, -10, 1, -34, 120, -132, 62, -13, 1, 89, -354, 483, -308, 100, -16, 1, -233, 1031, -1671, 1345, -595, 147, -19, 1, 610, -2972, 5561, -5398, 3030, -1020, 203, -22, 1, -1597, 8495, -17984, 20410, -13893, 5943, -1610, 268, -25, 1, 4181, -24110, 56886, -73816, 59059, -30702, 10570, -2392, 342, -28, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
A110877 can be generated from M^n * [1,0,0,0...] where M = an infinite tridiagonal matrix with 1's in the super and subdiagonals and (1,3,3,3...) in the main diagonal.
Riordan array ((1+2*x)/(1+3*x+x^2), x/(1+3*x+x^2)). - Philippe Deléham, Mar 04 2014
|
|
LINKS
|
|
|
FORMULA
|
Sum_{j=k..n} T(n,j)*A110877(j,k) = delta(n,k).
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
-1, 1;
2, -4, 1;
-5, 13, -7, 1;
13, -40, 33, -10, 1;
-34, 120, -132, 62, -13, 1
...
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|