A144254 Eigentriangle by rows, termwise products of A078812 and its eigensequence, A125274.

1, 2, 1, 3, 4, 3, 4, 10, 18, 10, 5, 20, 63, 80, 42, 6, 35, 168, 360, 420, 210, 7, 56, 378, 1200, 2310, 2520, 1199, 8, 84, 756, 3300, 9240, 16380, 16786, 7670, 9, 120, 1386, 7920, 30030, 76440, 125895, 122720, 54224, 10, 165, 2376, 17160, 84084, 286650

Offset

1,2

Comments

Right border A144253 = A125274, the eigensequence of A078812: (1, 1, 3, 10, 42, 210, 1199,...).

Row sums = A125274 shifted.

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

Links

Table of n, a(n) for n=1..51.

Formula

Eigensequence by rows, T(n,k) = A078812(n,k) * A125274(k).

Example

First few rows of the triangle =
1;
2, 1;
3, 4, 3;
4, 10, 18, 10;
5, 20, 63, 80, 42;
6, 35, 168, 360, 420, 210;
7, 56, 378, 1200, 2310, 2520, 1199;
...
Triangle A078812 begins:
1;
2, 1;
3, 4, 1;
4, 10, 6, 1;
5, 20, 21, 8, 1;
...
Its eigensequence = A125274: (1, 1, 3, 10, 42, 210, 1199,...).
Row 3 of triangle A144253 = termwise products of (4, 10, 6, 1) and (1, 1, 3, 10) = (4*1, 10*1, 6*3, 1*10).

Crossrefs

A078812, Cf. A125274

Sequence in context: A278340 A324749 A022466 * A378020 A133310 A362563

Adjacent sequences: A144251 A144252 A144253 * A144255 A144256 A144257

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 16 2008

Status

approved