OFFSET
0,1
COMMENTS
LetA129186= M, then M*V, V a vector; shifts V to the right, appending 1's to the shifted spaces. Example: M*V, V = [1,2,3,...] = [1,1,2,3,...].
Triangle T(n,k), read by rows, given by (1, -1, 0, 0, 0, 0, 0, 0, 0,...) DELTA (0, 1, 0, 0, 0, 0, 0, 0, 0,...) where DELTA is the operator defined inA084938.-Philippe Deléham,Dec 08 2011
LINKS
Robert Price,Table of n, a(n) for n = 0..5049
FORMULA
Infinite lower triangular matrix with (1,0,0,...) in the main diagonal and (1,1,1...) in the subdiagonal.
G.f.: (1-(y-1)*x)/(1-y*x). -Philippe Deléham,Dec 08 2011
EXAMPLE
First few rows of the triangle are:
1;
1, 0;
0, 1, 0;
0, 0, 1, 0;
0, 0, 0, 1, 0;
...
MAPLE
gf:= 1 + z/(1 - x*z): ser:= series(gf, z, 16): c:= k -> coeff(ser, z, k):
seq(seq(coeff(c(n), x, k), k=0..n), n=0..14); #Peter Luschny,Jul 07 2019
MATHEMATICA
Join[{1}, Flatten[Table[PadLeft[{1, 0}, n, 0], {n, 2, 20}]]] (*Harvey P. Dale,Aug 26 2019 *)
CROSSREFS
KEYWORD
AUTHOR
Gary W. Adamson,Apr 01 2007
STATUS
approved