OFFSET
1,5
COMMENTS
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.
FORMULA
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.
EXAMPLE
First few rows of the triangle:
1;
1, 0;
0, 2, 0;
0, 0, 3, 0;
0, 0, 0, 4, 0;
0, 0, 0, 0, 5, 0;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, May 28 2007
EXTENSIONS
a(5) corrected by Gionata Neri, Jun 22 2016
STATUS
approved