A143806 Eigentriangle of A130534.

1, 1, 1, 2, 3, 2, 6, 11, 12, 7, 24, 50, 70, 70, 36, 120, 274, 450, 595, 540, 250, 720, 1764, 3248, 5145, 6300, 5250, 2229

Offset

0,4

Comments

Right border = A143805 (1, 1, 2, 7, 36, 250,...) = row sums shifted one place to the left, = (1, 2, 7, 36, 250,...). Sum of n-th row terms = rightmost term of next row.

A130534 = the Stirling cycle numbers:

1;

1, 1;

2, 3, 1;

6, 11, 6, 1;

...

The triangle by rows, applies termwise products of the eigensequence terms of A130534: (1, 1, 2, 7, 36, 250,...) = A143805; to row terms of A130534. Thus row 3 = (6, 11, 12, 7) = (6, 11, 6, 1) and termwise product of the first 4 terms of A143805: (1, 1, 2, 7).

Links

Table of n, a(n) for n=0..27.

Formula

Triangle read by rows, A130534 * (A143805 * 0^(n-k)); 0<=k<=n.

Example

First few rows of the triangle:
  1;
  1, 1;
  2, 3, 2;
  6, 11, 12, 7;
  24, 50, 70, 70, 36;
  120, 274, 450, 595, 540, 250;
  720, 1764, 3248, 5145, 6300, 5250, 2229;
  ...

Crossrefs

Cf. A130534, A143805.

Sequence in context: A298854 A355266 A188881 * A276551 A109878 A354796

Adjacent sequences: A143803 A143804 A143805 * A143807 A143808 A143809

Keyword

nonn,tabl,more

Author

Gary W. Adamson, Sep 01 2008

Status

approved