A130210 - OEIS

%I #5 Aug 06 2016 17:01:37

%S 1,1,2,1,0,2,1,2,0,3,1,0,0,0,2,1,2,2,0,0,4,1,0,0,0,0,0,2,1,2,0,3,0,0,

%T 0,4,1,0,2,0,0,0,0,0,3,1,2,0,0,2,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,2,1,2,

%U 2,3,0,4,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2

%N Triangle read by rows: matrix product A051731 * A130209.

%F Inverse Moebius transform of A130209.

%F T(n,n) = A000005(n).

%e First few rows of the triangle are:

%e 1;

%e 1, 2;

%e 1, 0, 2;

%e 1, 2, 0, 3;

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

%e 1, 2, 2, 0, 0, 4;

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

%e ...

%p A130210 := proc(n,k)

%p     add( A051731(n,j)*A130209(j,k),j=k..n) ;

%p end proc:

%p seq(seq(A130210(n,k),k=1..n),n=1..15) ;  # _R. J. Mathar_, Aug 06 2016

%Y Cf. A000005, A007425 (row sums).

%K nonn,tabl,easy

%O 1,3

%A _Gary W. Adamson_, May 17 2007