1,6

Triangle = an infinite lower triangular Toeplitz matrix with the INVERTi

transform of d(n) in every column; i.e. A159933: (1, 1, -1, 0, -1, 2, -1,...). Row sums of the resulting eigentriangle of d(n) = d(n).

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

Right border = d(n) shifted.

First few rows of the triangle =

1;

1, 1;

-1, 1, 2;

0, -1, -2, 2;

-1, 0, -2, 2, 3;

2, -1, 0, -2, 3, 2;

-1, 2, -2, 0, -3, 2, 4;

-1, -1, 4, -2, 0, -2, 4, 2;

3, -1, -2, 4, -3, 0, -4, 2, 4;

-4, 3, -2, -2, 6, -2, 0, -2, 4, 3;

2, -4, 6, -2, -3, 4, -4, 0, -4, 3, 4;

2, 2, -8, 6, -3, -2, 8, -2, 0, -3, 4, 2;

-3, 2, 4, -8, 9, -2, -4, 4, -4, 0, -4, 2, 6;

0, -3, 4, 4, -12, 6, -4, -2, 8, -3, 0, -2, 6, 2;

0, 0, -6, 4, 6, -8, 12, -2, -4, 6, -4, 0, -6, 2, 4;

6, 0, 0, -6, 6, 4, -16, 6, -4, -3, 8, -2, 0, -2, 4, 4;

...

Example: row 6 = (2, -1, 0, -2, 3, 2) = termwise products of

(2, -1, 0, -1, 1, 1) and (1, 1, 2, 2, 3, 2); with dot product sum = 4 = d(6).

A159933

Sequence in context: A110249 A160756 A145462 this_sequence A067460 A159855 A128256

Adjacent sequences: A159931 A159932 A159933 this_sequence A159935 A159936 A159937

tabl,sign

Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 26 2009