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A127740 Natural number transform of Aitken's triangle. 1

%I #6 May 27 2019 17:35:03

%S 1,2,4,6,9,15,20,28,40,60,75,100,135,185,260,312,402,522,684,906,1218,

%T 1421,1785,2254,2863,3661,4718,6139,7016,8640,10680,13256,16528,20712,

%U 26104,33120,37260,45153,54873,66888,81801,100395,123696,153063,190323

%N Natural number transform of Aitken's triangle.

%C Right border (1, 4, 15, 60, ...) = n*B(n); left column (1, 2, 6, 20, ...) = A052889, n*B(n-1). Row sums = A127741, (n+1) * A005493, where A005493 = row sums of Aitken's triangle.

%F A127648 * A011971 as infinite lower triangular matrices, where A127648 = [1; 0,2; 0,0,3; ...]. (n+1) * each row term in Aitken's triangle.

%e First few rows of the triangle:

%e 1;

%e 2, 4;

%e 6, 9, 15;

%e 20, 28, 40, 60;

%e 75, 100, 135, 185, 260;

%e ...

%Y Cf. A000110, A005493, A052889, A011971.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Jan 27 2007

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)