0,2

Sum of n-th row terms = (1, 3, 5, 11, 15, 19, 27, 29,...) = A006046(n+1)

Triangle by rows, A000012 * A047999; where A000012 = an infinite lower

triangular matrix with all 1's: [1; 1,1; 1,1,1;..]; and A047999 = Sierpinski's gasket.

The operation takes partial sums of Sierpinski's gasket terms, by columns.

Frist few rows of the triangle =

.1;

.2, 1;

.3, 1, 1;

.4, 2, 2, 1;

.5, 2, 2, 1, 1;

.6, 3, 2, 1, 2, 1;

.7, 3, 3, 1, 3, 1, 1;

.8, 4, 4, 2, 4, 2, 2, 1;

.9, 4, 4, 2, 4, 2, 2, 1, 1;

10, 5, 4, 2, 4, 2, 2, 1, 2, 1;

11, 5, 5, 2, 4, 2, 2, 1, 3, 1, 1;

12, 6, 6, 3, 4, 2, 2, 1, 4, 2, 2, 1;

13, 6, 6, 3, 5, 2, 2, 1, 5, 2, 2, 1, 1;

...

Cf. A047999, A006046

Sequence in context: A116599 A138121 A138151 this_sequence A143318 A122610 A011973

Adjacent sequences: A166553 A166554 A166555 this_sequence A166557 A166558 A166559

nonn,tabl

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