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

0,5

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.

Links

Table of n, a(n) for n=0..20.

Formula

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

Example

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.

Sequence in context: A109244 A171650 A225476 * A365566 A326659 A236830

Adjacent sequences: A143774 A143775 A143776 * A143778 A143779 A143780

Keyword

nonn,tabl,more

Author

Gary W. Adamson, Aug 31 2008

Status

approved