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%I #16 Feb 20 2022 22:53:11
%S 1,1,0,0,2,0,0,0,3,0,0,0,0,4,0,0,0,0,0,5,0,0,0,0,0,0,6,0,0,0,0,0,0,0,
%T 7,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,10,0,0,0,
%U 0,0,0,0,0,0,0,0,11,0
%N Infinite lower triangular matrix,(1,0,0,0,...) in the main diagonal and (1,2,3,...) in the subdiagonal.
%C Given M = this sequence as an infinite lower triangular matrix and V = any sequence as a column vector, then M*V is the concatenation of the first term of V with the dot product of (1, 2, 3, ...) and V.
%F A natural number operator as an infinite lower triangular matrix M. (1,0,0,0,...) in the main diagonal, (1,2,3,...) in the subdiagonal and the rest zeros.
%e First few rows of the triangle:
%e 1;
%e 1, 0;
%e 0, 2, 0;
%e 0, 0, 3, 0;
%e 0, 0, 0, 4, 0;
%e 0, 0, 0, 0, 5, 0;
%e ...
%Y Cf. A130461, A130476, A130477, A130478.
%K nonn,tabl
%O 1,5
%A _Gary W. Adamson_, May 28 2007
%E a(5) corrected by _Gionata Neri_, Jun 22 2016
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