A108037 Triangle read by rows: n-th row is n-th nonzero Fibonacci number repeated n+1 times.

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

Offset

0,7

Links

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

Formula

G.f.: x*(1+y-x*y)/((1-x-x^2)*(1-x*y-x^2*y^2)). [U coordinates]

Example

0; 1,1; 1,1,1; 2,2,2,2; 3,3,3,3,3; 5,5,5,5,5,5; ...

Mathematica

Table[Table[Fibonacci[n], {n+1}], {n, 0, 12}]//Flatten (* Harvey P. Dale, May 07 2017 *)

Prog

(Haskell)
a108037 n k = a108037_tabl !! n !! k
a108037_row n = a108037_tabl !! n
a108037_tabl = zipWith replicate [1..] a000045_list
-- Reinhard Zumkeller, Oct 07 2012

Crossrefs

Cf. A039913, A108036, A108035.

Cf. A099920 (row sums).

Sequence in context: A176146 A171481 A230775 * A237354 A261104 A326032

Adjacent sequences: A108034 A108035 A108036 * A108038 A108039 A108040

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jun 01 2005

Status

approved