A156667 Triangle read by rows, A156663 * (A001045 * 0^(n-k)).

1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 4, 0, 2, 0, 5, 0, 4, 0, 6, 0, 11, 8, 0, 4, 0, 10, 0, 21, 0, 8, 0, 12, 0, 22, 0, 43, 16, 0, 8, 0, 20, 0, 42, 0, 85, 0, 16, 0, 24, 0, 44, 0, 86, 0, 171, 32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341

Offset

0,4

Comments

Row sums = A001045 starting with offset 1: (1, 1, 3, 5, 11, 21, 43, ...).

As an eigentriangle, row sums = rightmost term of next row.

Links

Table of n, a(n) for n=0..65.

Formula

Triangle read by rows, A156663 * (an infinite lower triangular matrix with A001045 as the main diagonal and the rest zeros).

Example

First few rows of the triangle =
1;
0, 1;
2, 0, 1;
0, 2, 0, 3;
4, 0, 2, 0, 5;
0, 4, 0, 6, 0, 11;
8, 0, 4, 0, 10, 0, 21;
0, 8, 0, 12, 0, 22, 0, 43;
16, 0, 8, 0, 20, 0, 42, 0, 85;
0, 16, 0, 24, 0, 44, 0, 86, 0, 171;
32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341;
0, 32, 0, 48, 0, 88, 0, 172, 0, 342, 0, 683;
...
Row 4 = (4, 0, 2, 0, 5) = termwise products of (4, 0, 2, 0, 1) and (1, 1, 1, 3, 5)

Crossrefs

Cf. A156663, A001045.

Sequence in context: A293575 A054014 A158945 * A178090 A110914 A219200

Adjacent sequences: A156664 A156665 A156666 * A156668 A156669 A156670

Keyword

nonn,tabl

Author

Gary W. Adamson, Feb 12 2009

Status

approved