|
| |
|
|
A119732
|
|
f-Pascal's triangle where f(n) = n*(n+1)/2 = A000217(n).
|
|
0
| |
|
|
1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 11, 20, 11, 1, 1, 67, 276, 276, 67, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
FORMULA
| T(n,k) = f(T(n-1,k-1)) + f(T(n-1,k))where f(n) = n*(n+1)/2 = A000217(n); T(0;0) = 1 ; T(n,k) = 0 if k<0 or if k>n.
|
|
|
EXAMPLE
| Triangle begins:
1;
1, 1;
1, 2, 1;
1, 4, 4, 1;
1, 11, 20, 11, 1;
1, 67, 276, 276, 67, 1;
|
|
|
CROSSREFS
| Cf. A007318.
Sequence in context: A176480 A154218 A078121 * A123521 A123246 A122518
Adjacent sequences: A119729 A119730 A119731 * A119733 A119734 A119735
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jun 14 2006
|
| |
|
|
