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Triangle read by rows, A122414 * A000012; 1<=k<=n.
2

%I #2 Mar 30 2012 17:25:32

%S 0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,2,2,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,

%T 0,0,1,1,1,0,0,0,0,0,0,2,2,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,

%U 1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,0,0,0,0,0,0,0

%N Triangle read by rows, A122414 * A000012; 1<=k<=n.

%C Row sums = A008472, the sum of distinct primes dividing n: (0, 2, 3, 2, 5, 5, 7, 2, 3, 7,...). Example: a(10) = 7 = 2 + 5.

%F Triangle read by rows, A122414 * A000012; 1<=k<=n. By rows, partial sums of A122414 terms starting from the right.

%e First few rows of the triangle =

%e 0;

%e 1, 1;

%e 1, 1, 1;

%e 1, 1, 0, 0;

%e 1, 1, 1, 1, 1;

%e 2, 2, 1, 0, 0, 0;

%e 1, 1, 1, 1, 1, 1, 1;

%e 1, 1, 0, 0, 0, 0, 0, 0;

%e 1, 1, 1, 0, 0, 0, 0, 0, 0;

%e 2, 2, 1, 1, 1, 0, 0, 0, 0, 0;

%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%e ...

%e Example: row 6 = (2, 2, 1, 0, 0, 0) = partial sums starting from the right of row 6, A122414: (0, 1, 1, 0, 0, 0).

%Y Cf. A122414, A008472.

%K nonn,tabl

%O 1,16

%A _Gary W. Adamson_, Aug 23 2008