1,5

Signed version of the transform (with -1,-2,-3...in the subdiagonal) gives A094587 having row sums A000522: (1, 2, 5, 16, 65, 236,...). Unsigned inverse gives signed A094587 (with alternate signs); giving row sums = a signed variation of A094587 as follows: (1, 0, 1, -2, 9, -44, 265, -1854,...). Binomial transform of the triangle = A093375.

Eigensequence of the triangle = A000085 starting (1, 2, 4, 10, 26, 76,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]

Infinite lower triangular matrix with (1,1,1,...) in the main diagonal and (1,2,3,...) in the subdiagonal.

First few rows of the triangle are:

1;

1, 2;

0, 2, 1;

0, 0, 3, 1;

0, 0, 0, 4, 1;

0, 0, 0, 0, 5, 1;

0, 0, 0, 0, 0, 6, 1;

0, 0, 0, 0, 0, 0, 7, 1;

...

Cf. A094587, A000522, A094587, A093375, A128228, A128227.

A000085 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]

Sequence in context: A113263 A063658 A132013 this_sequence A145677 A105820 A136263

Adjacent sequences: A128226 A128227 A128228 this_sequence A128230 A128231 A128232

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 19 2007