1,15

Row sums = A116975, the number of componsitions of n using terms == (1,4) mod 5: (1, 1, 1, 2, 3, 5, 7, 10, 15, 23, 35, 52, 77, 115,...). Sum of n-th row terms = rightmost term of next row.

Let T = an infinite lower triangular matrix with (1, 0, 0, 1, 0, 1,...repeat...); (i.e. the characteristic function of (1,4) mod 5) in every

column. Let X = an infinite lower triangular matrix with A116975 as the main

diagonal prefaced with a 1: (1, 1, 1, 1, 2, 3, 5, 7, 10, 15, 23,...).

Triangle A145765 = T * X

First few rows of the triangle =

1;

0, 1;

0, 0, 1;

1, 0, 0, 1;

0, 1, 0, 0, 2;

1, 0, 1, 0, 0, 3;

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

0, 0, 1, 0, 2, 0, 0, 7;

1, 0, 0, 1, 0, 3, 0, 0, 10;

0, 1, 0, 0, 2, 0, 5, 0, 0, 15;

1, 0, 1, 0, 0, 3, 0, 7, 0, 0, 23;

0, 1, 0, 1, 0, 0, 5, 0, 10, 0, 0, 35;

0, 0, 1, 0, 2, 0, 0, 7, 0, 15, 0, 0, 52;

1, 0, 0, 1, 0, 3, 0, 0, 10, 0, 23, 0, 0, 77;

...

A145765

Sequence in context: A115604 A128617 A116488 this_sequence A157424 A144961 A144627

Adjacent sequences: A145762 A145763 A145764 this_sequence A145766 A145767 A145768

eigen,nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 18 2008