A127647 - OEIS

A127647

Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n).

1, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 377

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OFFSET

1,6

COMMENTS

This sequence * A007318 (Pascal's Triangle) = A016095. A007318 * this sequence = A094436

With offset (0,6), this is [0,0,0,0,0,0,0,0,0,0,...] DELTA [1,1,-1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Jan 26 2007

LINKS

G. C. Greubel, Rows n = 1..100 of triangle, flattened

FORMULA

An infinite lower triangular matrix with the Fibonacci sequence in the main diagonal and the rest zeros.

G.f.: -x*y/(-1+x*y+x^2*y^2). - R. J. Mathar, Aug 11 2015

EXAMPLE

First few rows of the triangle:

0, 1;

0, 0, 2;

0, 0, 0, 3;

0, 0, 0, 0, 5;

0, 0, 0, 0, 0, 8;