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A129186 Right shift operator generating 1's in shifted spaces. 20
1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Let A129186 = 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 in A084938. - Philippe Deléham, Dec 08 2011

LINKS

Table of n, a(n) for n=0..75.

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;

...

CROSSREFS

Cf. A000012 (row sums), A071919, A129184, A129185.

Sequence in context: A010052 A039985 A127239 * A095901 A087049 A118009

Adjacent sequences:  A129183 A129184 A129185 * A129187 A129188 A129189

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Apr 01 2007

EXTENSIONS

More terms from Philippe Deléham, Dec 08 2011

STATUS

approved

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Last modified October 21 23:02 EDT 2018. Contains 316431 sequences. (Running on oeis4.)