A144182 Eigentriangle, row sums = A144181

1, 0, 1, 2, 0, 2, 4, 2, 0, 3, -4, 4, 2, 0, 9, 0, -4, 4, 6, 0, 11, -8, 0, -4, 12, 18, 0, 17, -16, -8, 0, -12, 36, 22, 0, 35, 16, -16, -8, 0, -36, 44, 34, 0, 57, 0, 16, -16, -24, 0, -44, 68, 70, 0, 91, 32, 0, 16, -48, -72, 0, -68, 140, 114, 0, 161

Offset

0,4

Comments

Row sums = A144181: (1, 1, 3, 9, 11, 17, 35,...).

Left border = A118434: (1, 0, 2, 4, -4, 0, -8,...); (i.e. row sums of the self-inverse triangle A118433).

Triangle A144183 = partial sums starting from the right of A144182.

Sum of n-th row terms = rightmost term of next row.

Links

Table of n, a(n) for n=0..65.

Formula

Triangle read by rows, T(n,k) = A118434(n-k)*A144181(k-1); where A144181(k-1) = A144181 shifted to (1, 1, 1, 3, 9, 11, 17, 35, 57, 91, 161,...).

Example

First few rows of the triangle are:
1;
0, 1;
2, 0, 1;
4, 2, 0, 3;
-4, 4, 2, 0, 9;
0, -4, 4, 6, 0, 11;
-8, 0, -4, 12, 18, 0, 17;
-16, -8, 0, -12, 36, 22, 0, 35;
...
row 3 = (4, 2, 0, 3) = termwise products of (4, 2, 0, 1) and (1, 1, 1, 3) = (4*1, 2*1, 0*1, 1*3).

Crossrefs

A144181, Cf. A118434, A144183

Sequence in context: A347223 A338227 A350861 * A037036 A378986 A055947

Adjacent sequences: A144179 A144180 A144181 * A144183 A144184 A144185

Keyword

tabl,sign

Author

Gary W. Adamson, Sep 13 2008

Status

approved