A176917 Triangle read by rows, A077049 * the diagonalized version of A002033.

1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,25

Comments

Row sums = A002033 starting with offset 1: (1, 1, 2, 1, 3, 1, 4, 2, 3, 1, 8,...)

Links

Table of n, a(n) for n=1..78.

Formula

As infinite lower triangular matrices, A077049 * the diagonalized version of

A002033: (1, 1, 1, 2, 1, 3, 1, 4, 2,...) as the right border with the rest zeros.

Example

First few rows of the triangle =
1;
1, 0;
1, 1, 0;
1, 0, 0, 0;
1, 1, 1, 0, 0;
1, 0, 0, 0, 0, 0;
1, 1, 0, 2, 0, 0, 0;
1, 0, 1, 0, 0, 0, 0, 0;
1, 1, 0, 0, 1, 0, 0, 0, 0;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0;
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 1, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 0, 2, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
1, 1, 1, 2, 0, 3, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
...

Crossrefs

Cf. A077049, A002033

Sequence in context: A158757 A294890 A325562 * A302110 A085983 A285701

Adjacent sequences: A176914 A176915 A176916 * A176918 A176919 A176920

Keyword

nonn,tabl

Author

Gary W. Adamson & Mats Granvik, Apr 28 2010

Status

approved