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A108037 Triangle read by rows: n-th row is n-th nonzero Fibonacci number repeated n+1 times. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 15 08:31 EDT 2019. Contains 327062 sequences. (Running on oeis4.)