A167366 Triangle read by rows, 2*A047999 - A097806 (signed) = twice Sierpinski's gasket - the signed pair sum operator.

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

Offset

0,2

Comments

Row sums = A167275: (1, 4, 4, 8, 4, 8, 8, 16,...).

Links

Table of n, a(n) for n=0..90.

Formula

Triangle read by rows, 2*A047999 - A096806, the pair sum operator.

A096806 is signed, rightmost diagonal = (+,+,+,...); adjacent diagonal is

signed (-,-,-,...).

Example

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

Crossrefs

Cf. A047999, A097806

Sequence in context: A072801 A098872 A349473 * A139436 A212305 A205555

Adjacent sequences: A167363 A167364 A167365 * A167367 A167368 A167369

Keyword

nonn,tabl

Author

Gary W. Adamson & Mats Granvik, Nov 01 2009

Status

approved