A143777 Eigentriangle of triangle A022167.

1, 1, 1, 1, 4, 2, 1, 13, 26, 7, 1, 40, 260, 280, 47, 1, 121, 2420, 8470, 5687, 628

Offset: 0

Author

Gary W. Adamson, Aug 31 2008

Keywords

• nonn
• tabl
• more

Comments

Row sums of the triangle = A125813 shifted one place to the left = (1, 2, 7, 47, 628,...).

Row sums of row n terms = rightmost term of row (n+1).

Example: rightmost term of row 3 = 7 = (1 + 4 + 2).

Triangle A022167 =

1;

1, 1;

1, 4, 1;

1, 13, 13, 1;

1, 40, 130, 40, 1;

... The eigensequence of A022167 = A125815: (1, 1, 2, 7, 47, 628, 17327,...).

Triangle A143777 applies a termwise product of the first n terms of (1, 1, 2, 7, 47,...) and the (n-1)-th row terms of triangle A022167.

Examples

			First few rows of the triangle are:
  1;
  1, 1;
  1, 4, 2;
  1, 13, 26, 7;
  1, 40, 260, 280, 47;
  1, 121, 2420, 8470, 5687, 628;
  ...
Row 3 = (1, 13, 26, 7) = termwise product of (1, 13, 13, 1) and (1, 1, 2, 7); where (1, 13, 13, 1) = row 3 of triangle A022167 and (1, 1, 2, 7) = the first 4 terms of A125813, the eigensequence of A022167.
		

Crossrefs

Cf. A022167, A125813.

Formula

Triangle read by rows, A022167 * (A125813 * 0^(n-k)); 0<=k<=n