0,5

Row sums = A125273 shifted. A125273 = the eigensequence of triangle A085478.

Right border = A125273: (1, 1, 2, 6, 23, 106, 567, 3434,...). Sum of n-th row terms = rightmost term in next row.

Triangle read by rows, T(n,k) = A085478(n,k) * A125273(k).

As infinite lower triangular matrices, A144250 = A085478 * (A125275 * 0^(n-k);

where (A125275 * 0^(n-k)) = an infinite lower triangular matrix with A125275:

(1, 1, 2, 6, 23, 106, 567, 3434,...) as the main diagonal and the rest zeros.

First few rows of the triangle =

1;

1, 1;

1, 3, 2;

1, 6, 10, 6;

1, 10, 30, 42, 23;

1, 15, 70, 168, 207, 106;

1, 21, 140, 504, 1035, 1166, 567;

...

Row 4 = (1, 10, 30, 42, 23) = termwise products of (1, 10, 15, 7, 1) and (1, 1, 2, 6, 23) = (1*1, 10*1, 15*2, 7*6, 1*23); where (1, 10, 15, 7, 1) = row 4 of triangle A085478. Q

A125273, Cf. A085478

Sequence in context: A052174 A111049 A088617 this_sequence A156367 A008276 A094638

Adjacent sequences: A144247 A144248 A144249 this_sequence A144251 A144252 A144253

nonn,tabl

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

Corrected definition: Eigentriangle, row sums = A125273, shifted. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 05 2008