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A130460 Infinite lower triangular matrix,(1,0,0,0,...) in the main diagonal and (1,2,3,...) in the subdiagonal. 4
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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0 (list; table; graph; refs; listen; history; text; internal format)
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.
LINKS
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
Sequence in context: A083927 A154724 A232747 * A132440 A218272 A134402
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, May 28 2007
EXTENSIONS
a(5) corrected by Gionata Neri, Jun 22 2016
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)