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A127647 Triangle read by rows: row n consists of n-1 zeros followed by Fibonacci(n). 17
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 (list; table; graph; refs; listen; history; text; internal format)
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
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:
1;
0, 1;
0, 0, 2;
0, 0, 0, 3;
0, 0, 0, 0, 5;
0, 0, 0, 0, 0, 8;
MATHEMATICA
Flatten[Table[{Table[0, {n-1}], Fibonacci[n]}, {n, 15}]] (* Harvey P. Dale, Jan 11 2016 *)
PROG
(PARI) T(n, k)=if(k==n, fibonacci(n), 0); \\ G. C. Greubel, Jul 11 2019
(Magma) [k eq n select Fibonacci(n) else 0: k in [1..n], n in [1..15]]; // G. C. Greubel, Jul 11 2019
(Sage)
def T(n, k):
if (k==n): return fibonacci(n)
else: return 0
[[T(n, k) for k in (1..n)] for n in (1..15)] # G. C. Greubel, Jul 11 2019
CROSSREFS
Sequence in context: A218272 A134402 A174712 * A325458 A226728 A244140
KEYWORD
nonn,tabl,easy
AUTHOR
Gary W. Adamson, Jan 22 2007
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)