A137865 - OEIS

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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

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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, 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