

A108037


Triangle read by rows: nth row is nth 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
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OFFSET

0,7


LINKS

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


FORMULA

G.f.: x*(1+yx*y)/((1xx^2)*(1x*yx^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



