A126258 Triangle generated by Pascal's rule with left diagonal = [1,0,2,0,3,0,4,...](A000027 with interpolated zeros) and right diagonal =[1,1,1,1,1,...].

1, 0, 1, 2, 1, 1, 0, 3, 2, 1, 3, 3, 5, 3, 1, 0, 6, 8, 8, 4, 1, 4, 6, 14, 16, 12, 5, 1, 0, 10, 20, 30, 28, 17, 6, 1

Offset

0,4

Links

Table of n, a(n) for n=0..35.

Formula

T(2*n,n)=A116914(n) . Sum_{k, 0<=k<=n)T(n,k)=A034299(n).

Example

Triangle begins:
1;
0, 1;
2, 1, 1;
0, 3, 2, 1;
3, 3, 5, 3, 1;
0, 6, 8, 8, 4, 1;
4, 6, 14, 16, 12, 5, 1;
0, 10, 20, 30, 28, 17, 6, 1;

Crossrefs

Sequence in context: A087117 A029340 A288166 * A235501 A116382 A050606

Adjacent sequences: A126255 A126256 A126257 * A126259 A126260 A126261

Keyword

nonn,tabl

Author

Philippe Deléham, Mar 08 2007

Status

approved