0,3

Row sums = A001317: (1, 3, 5, 15, 17, 51, 85,...).

Triangle by rows, A047999 * Q. A047999 = Sierpinski's gasket, Q = an infinite

lower triangular matrix with (1,2,4,8,...) as the main diagonal and the rest zeros.

First few rows of the triangle =

1;

1, 2;

1, 0, 4;

1, 2, 4, 8;

1, 0, 0, 0, 16;

1, 2, 0, 0, 16,.32;

1, 0, 4, 0, 16,..0,..64;

1, 2, 4, 8, 16,.32,..64,..128;

1, 0, 0, 0,..0,..0,...0,....0,..256;

1, 2, 0, 0,..0,..0,...0,....0,..256,...512;

1, 0, 4, 0,..0,..0,...0,....0,..256,.....0,...1024;

1, 2, 4, 8,..0,..0,...0,....0,..256,...512,...l024,...2048;

1, 0, 0, 0, 16,..0,...0,....0,..256,.....0,......0,......0,..4096;

...

Cf. A147999, A001317

Sequence in context: A140882 A143724 A143425 this_sequence A136329 A122073 A106236

Adjacent sequences: A166552 A166553 A166554 this_sequence A166556 A166557 A166558

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 17 2009