0,13

Rows of the array tend to the Fibonacci sequence.

Row sums of the triangle = A052551: (1, 1, 3, 3, 7, 7, 15, 15, 31, 31, 63, 63,...).

Triangle read by rows, antidiagonals of an array formed by taking A000012 * A049310(transform); given A049310 unsigned.

First few rows of the array are:

1, 0, 1, 0, 1, 0, 1,...

1, 1, 1, 2, 1, 3, 1,...

1, 1, 2, 2, 4, 3, 7,...

1, 1, 2, 3, 4, 7, 7,...

1, 1, 2, 3, 5, 7, 12,...

1, 1, 2, 3, 5, 8, 12,...

...

First few rows of the triangle are:

1;

1, 0;

1, 1, 1;

1, 1, 1, 0;

1, 1, 2, 2, 1;

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

1, 1, 2, 3, 4, 3, 1;

1, 1, 2, 3, 4, 3, 1, 0;

1, 1, 2, 3, 5, 7, 7, 4, 1;

1, 1, 2, 3, 5, 7, 7, 4, 1, 0;

1, 1, 2, 3, 5, 8, 12, 14, 11, 5, 1;

1, 1, 2, 3, 5, 8, 12, 14, 11, 5, 1, 0;

...

Cf. A049310, A052551.

Sequence in context: A100727 A064892 A083019 this_sequence A052494 A039998 A000999

Adjacent sequences: A137862 A137863 A137864 this_sequence A137866 A137867 A137868

nonn,tabl

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