A143774 Eigentriangle of triangle A022166.

1, 1, 1, 1, 3, 2, 1, 7, 14, 6, 1, 15, 70, 70, 28, 1, 31, 310, 930, 868, 204, 1, 63, 1302, 8370, 18228, 12852, 2344

Offset: 0

Author

Gary W. Adamson, Aug 31 2008

Keywords

• nonn
• tabl
• more

Comments

An eigentriangle of triangle T may be defined by taking the termwise product of row n-1 of T and the first n terms of the eigensequence of T; 0<=k<=n.

Row sums = A125812 shifted 1 place to the left: (1, 2, 6, 28, 204,...).

Sum of n-th row terms = rightmost term of (n+1)-th row.

1, 1;

1, 3, 1;

1, 7, 7, 1;

1, 15, 35, 15, 1;

... (and the eigensequence of A022166 = A125812: (1, 1, 2, 6, 28, 204,...) we apply the termwise product of (n-1)-th row of A022166 and the first n terms of A125812.

Examples

			First few rows of the triangle:
  1;
  1, 1;
  1, 3, 2;
  1, 7, 14, 6;
  1, 15, 70, 90, 28;
  1, 31, 310, 930, 868, 204;
  ...
Row 3 of A022166 = (1, 7, 7, 1), first 4 terms of A143774 = (1, 1, 2, 6), so row 3 of A143774 = (1*1, 7*1, 7*2, 1*6) = (1, 7, 14, 6).
		

Crossrefs

Cf. A022166, A125812.

Formula

Given triangle A022166: 1;