A127468 Triangle read by rows: matrix product A127466*A054525.

1, 0, 2, -3, 0, 6, 0, -4, 0, 8, -15, 0, 0, 0, 20, 0, -6, 0, 0, 0, 12, -35, 0, 0, 0, 0, 0, 42, 0, -8, 0, -16, 0, 0, 0, 32, -9, 0, -36, 0, 0, 0, 0, 0, 54, 0, -30, 0, 0, 0, 0, 0, 0, 0, 40, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, 0, 12, 0, -24, 0, -24, 0, 0, 0, 0, 0, 48

Offset

1,3

Comments

The row sums are n, the index of the row.

Links

Table of n, a(n) for n=1..78.

Formula

T(n,k) = sum_{j=k..n} A127466(n,j) * A054525(j,k).

T(n,n) = A002618(n).

Example

First few rows of the triangle are:
1;
0, 2;
-3, 0, 6;
0, -4, 0, 8;
-15, 0, 0, 0, 20;
0, -6, 0, 0, 0, 12;
-35, 0, 0, 0, 0, 0, 42;
...

Maple

A127468 := proc(n, k)
    add( A127466(n, j)*A054525(j, k), j=k..n) ;
end proc: # R. J. Mathar, Sep 06 2013

Crossrefs

Cf. A127466, A054525, A002618.

Sequence in context: A190902 A115562 A343069 * A173720 A173717 A058301

Adjacent sequences: A127465 A127466 A127467 * A127469 A127470 A127471

Keyword

tabl,sign

Author

Gary W. Adamson, Jan 15 2007

Status

approved