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A167366 Triangle read by rows, 2*A047999 - A097806 (signed) = twice Sierpinski's gasket - the signed pair sum operator. 1
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 (list; table; graph; refs; listen; history; text; internal format)
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: A016569 A072801 A098872 * 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

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Last modified December 15 11:52 EST 2018. Contains 318148 sequences. (Running on oeis4.)