|
Search: id:A091562
|
|
|
| A091562 |
|
Triangle read by rows, related to Pascal's triangle. |
|
+0
2
|
|
| 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 5, 7, 5, 2, 3, 10, 17, 17, 10, 3, 5, 20, 41, 51, 41, 20, 5, 8, 38, 91, 136, 136, 91, 38, 8, 13, 71, 195, 339, 405, 339, 195, 71, 13, 21, 130, 403, 799, 1107, 1107, 799, 403, 130, 21, 34, 235, 812, 1807, 2845, 3297, 2845, 1807, 812, 235
(list; table; graph; listen)
|
|
|
OFFSET
|
0,8
|
|
|
FORMULA
|
T(n, k) = T(n-1, k) + T(n-1, k-1) + T(n-2, k) + T(n-2, k-1) + T(n-2, j-2) for n >= 2, k >= 0, with initial conditions specified by first two rows.
G.f. A(x, y) = (1-x-x*y)/(1-x-x*y-x^2-x^2*y-x^2*y^2).
|
|
EXAMPLE
|
1; 0,0; 1,1,1; 1,2,2,1; 2,5,7,5,2; ...
|
|
CROSSREFS
|
Row sums: A054878. Columns 0-1: A000045(n-1), A001629.
Cf. A090172.
Sequence in context: A143808 A059594 A125678 this_sequence A106585 A057227 A162663
Adjacent sequences: A091559 A091560 A091561 this_sequence A091563 A091564 A091565
|
|
KEYWORD
|
nonn,easy,tabl
|
|
AUTHOR
|
Christian G. Bower (bowerc(AT)usa.net), Jan 20 2004
|
|
|
Search completed in 0.002 seconds
|
