0,5

Right border = A144251: (1, 1, 2, 6, 24, 122, 758,...) with row sums = the same sequence shifted. Sum of n-th row terms = rightmost term of next row.

Eigentriangle by rows, T(n,k) = A054142(n,k) * A144251(k); were A144251 = the eiegensequence of triangle A054142.

First few rows of the triangle =

1;

1, 1;

1, 3, 2;

1, 5, 12, 6;

1, 7, 30, 60, 24;

1, 9, 56, 210, 360, 122;

1, 11, 90, 504, 1680, 2562, 758;

1, 13, 132, 990, 5040, 15372, 21224, 5606;

...

The triangle is generated from A054142 and it's own eigensequence, (A144251), where A054142 =

1;

1, 1;

1, 3, 1;

1, 5, 6, 1;

1, 7, 15, 10, 1;

...

The eigensequence of A054142 = A144251: (1, 1, 2, 6, 24, 122, 758, 5606,...);

Example: row 3 of A144252 = (1, 5, 12, 6) = termwise products of (1, 5, 6, 1) and (1, 1, 2, 6) = (1*1, 5*1, 6*2, 1*6).

A144251, Cf. A054142, A125273, A085478

Sequence in context: A085792 A108123 A105954 this_sequence A002130 A089145 A134199

Adjacent sequences: A144249 A144250 A144251 this_sequence A144253 A144254 A144255

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 16 2008