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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 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:   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 Cf. A007318, A094436, A016095. Sequence in context: A218272 A134402 A174712 * A325458 A226728 A244140 Adjacent sequences:  A127644 A127645 A127646 * A127648 A127649 A127650 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson, Jan 22 2007 STATUS approved

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Last modified July 29 06:21 EDT 2021. Contains 346340 sequences. (Running on oeis4.)