A115296 Skew version of correlation triangle for constant sequence 1.

1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 3, 2, 1

Offset

0,9

Comments

Row sums are A001399. Diagonal sums are A025795.

Links

Table of n, a(n) for n=0..104.

Formula

G.f.: 1/((1-x*y)*(1-x^2*y)*(1-x^3*y^2)); Number triangle T(n, k)=sum{j=0..k, [j<=n-k]*[j<=2k-n]}; T(n, k)=A003983(k, n-k).

Example

Triangle begins
1;
0,1;
0,1,1;
0,0,2,1;
0,0,1,2,1;
0,0,0,2,2,1;
0,0,0,1,3,2,1;
0,0,0,0,2,3,2,1;

Crossrefs

Sequence in context: A305355 A218380 A152815 * A059048 A257181 A164116

Adjacent sequences: A115293 A115294 A115295 * A115297 A115298 A115299

Keyword

easy,nonn,tabl

Author

Paul Barry, Jan 19 2006

Status

approved