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A127470 Triangle equal to the matrix product A127466 * A051731. 2

%I #6 Sep 08 2013 18:25:08

%S 1,4,2,9,0,6,16,12,0,8,25,0,0,0,20,36,18,24,0,0,12,49,0,0,0,0,0,42,64,

%T 56,0,48,0,0,0,32,81,0,72,0,0,0,0,0,54,100,50,0,0,80,0,0,0,0,40,121,0,

%U 0,0,0,0,0,0,0,0,110,144,108,96,72,0,72,0,0,0,0,0,48

%N Triangle equal to the matrix product A127466 * A051731.

%F T(n,1) = n^2.

%F T(n,n) = n*phi(n) = A002618(n).

%e First few rows of the triangle are:

%e 1;

%e 4, 2;

%e 9, 0, 6;

%e 16, 12, 0, 8;

%e 25, 0, 0, 0, 20;

%e 36, 18, 24, 0, 0, 12;

%e 49, 0, 0, 0, 0, 0, 42;

%e 64, 56, 0, 48, 0, 0, 0, 32;

%e 81, 0, 72, 0, 0, 0, 0, 0, 54;

%e ...

%p A127470 := proc(n,k)

%p add( A127466(n,j)*A051731(j,k),j=k..n) ;

%p end proc: # _R. J. Mathar_, Sep 08 2013

%Y Cf. A127466, A051731, A127469 (row sums), A061949.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jan 15 2007

%E Terms corrected by _R. J. Mathar_, Sep 08 2013

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Last modified April 24 10:00 EDT 2024. Contains 371935 sequences. (Running on oeis4.)