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A127651 Triangle T(n,k) = n*k if k|n, 0 otherwise; 1<=k<=n. 1

%I #7 Aug 18 2015 00:09:45

%S 1,2,4,3,0,9,4,8,0,16,5,0,0,0,25,6,12,18,0,0,36,7,0,0,0,0,0,49,8,16,0,

%T 32,0,0,0,64,9,0,27,0,0,0,0,0,81,10,20,0,0,50,0,0,0,0,100,11,0,0,0,0,

%U 0,0,0,0,0,121,12,24,36,48,0,72,0,0,0,0,0,144

%N Triangle T(n,k) = n*k if k|n, 0 otherwise; 1<=k<=n.

%C Equals the matrix product A127648 * A127093 as infinite lower triangular matrices.

%F T(n,k) = n*A127093(n,k). - _R. J. Mathar_, Oct 01 2011

%e First few rows of the triangle are:

%e 1;

%e 2, 4;

%e 3, 0, 9;

%e 4, 8, 0, 16;

%e 5, 0, 0, 0, 25;

%e 6, 12, 18, 0, 0, 36;

%e 7, 0, 0, 0, 0, 0, 49;

%e 8, 16, 0, 32, 0, 0, 0, 64;

%e ...

%p A127651 := proc(n,k)

%p if n mod k =0 then

%p n*k;

%p else

%p 0 ;

%p end if;

%p end proc: # _R. J. Mathar_, Oct 01 2011

%Y Cf. A127648, A127093, A064987 (row sums).

%K nonn,tabl,easy

%O 1,2

%A _Gary W. Adamson_, Jan 22 2007

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)