A137865 Triangle read by rows, antidiagonals of an array formed by A000012 * A049310(transform).

1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 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, 12, 14, 11, 5, 1, 0

Offset

0,13

Comments

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, ...).

Links

Table of n, a(n) for n=0..77.

Formula

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

Example

First few rows of the array:
  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:
  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;
  ...

Crossrefs

Cf. A049310, A052551.

Sequence in context: A333124 A274109 A083019 * A052494 A317756 A039998

Adjacent sequences: A137862 A137863 A137864 * A137866 A137867 A137868

Keyword

nonn,tabl

Author

Gary W. Adamson, Feb 18 2008

Status

approved