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A144254 Eigentriangle by rows, termwise products of A078812 and its eigensequence, A125274. 0
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 (list; table; graph; refs; listen; history; text; internal format)
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: A301453 A278340 A022466 * A133310 A077608 A002124

Adjacent sequences:  A144251 A144252 A144253 * A144255 A144256 A144257

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 16 2008

STATUS

approved

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Last modified November 14 19:07 EST 2018. Contains 317214 sequences. (Running on oeis4.)