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A167364 Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices. 2
1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row sums = A048896: (1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4,...). Right border = Thue-Morse sequence A010060, starting with offset 1.

LINKS

Table of n, a(n) for n=1..78.

FORMULA

Let S = Sierpinski's gasket, A047999. Let Q = a diagonalized version of the Thue-Morse sequence, A010060: [0; 0,1; 0,0,1; 0,0,0,0; 0,0,0,0,1;...], (i.e. A010060 as the rightmost diagonal and the rest zeros). A167364 = S * Q, as infinite lower triangular matrices. Delete leftmost column of zeros.

EXAMPLE

First few rows of the triangle =

1;

0, 1;

1, 1, 0;

0, 0, 0, 1;

1, 0, 0, 1, 0;

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

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

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

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

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

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

0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0

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

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

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

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

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

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

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

...

CROSSREFS

Cf. A047999, A010060.

Sequence in context: A188433 A267635 A267034 * A280711 A293164 A230298

Adjacent sequences:  A167361 A167362 A167363 * A167365 A167366 A167367

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Mats Granvik, Nov 01 2009

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)