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A060442 Triangle T(n,k), n >= 0, in which n-th row (for n >= 3) lists prime factors of Fibonacci(n) (see A000045), without repetition. 6
0, 1, 1, 2, 3, 5, 2, 13, 3, 7, 2, 17, 5, 11, 89, 2, 3, 233, 13, 29, 2, 5, 61, 3, 7, 47, 1597, 2, 17, 19, 37, 113, 3, 5, 11, 41, 2, 13, 421, 89, 199, 28657, 2, 3, 7, 23, 5, 3001, 233, 521, 2, 17, 53, 109, 3, 13, 29, 281, 514229, 2, 5, 11, 31, 61, 557, 2417, 3, 7, 47, 2207, 2, 89 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Rows have irregular lengths.

T(n,k) = A027748(A000045(n),k), k = 1 .. A022307(n)). - Reinhard Zumkeller, Aug 30 2014

LINKS

T. D. Noe, Rows n=0..1000 of triangle, flattened (using Blair Kelly's data)

Blair Kelly, Fibonacci and Lucas Factorizations

EXAMPLE

Triangle begins:

     0;

     1;

     1;

     2;

     3;

     5;

     2;

    13;

     3,   7;

     2,  17;

     5,  11;

    89;

     2,   3;

   233;

    13,  29;

     2,   5, 61;

     3,   7, 47;

  1597;

     2,  17, 19;

    37, 113;

     3,   5, 11, 41;

   ...

MAPLE

with(numtheory): with(combinat): for i from 3 to 50 do for j from 1 to nops(ifactors(fibonacci(i))[2]) do printf(`%d, `, ifactors(fibonacci(i))[2][j][1]) od: od:

PROG

(Haskell)

a060442 n k = a060442_tabf !! n !! k

a060442_row n = a060442_tabf !! n

a060442_tabf = [0] : [1] : [1] : map a027748_row (drop 3 a000045_list)

-- Reinhard Zumkeller, Aug 30 2014

CROSSREFS

A000045, A060441.

For n>2, the length of row n is A022307(n).

Cf. A027748, A022307 (row lengths), A001221.

Sequence in context: A102867 A060383 A139044 * A060385 A080648 A113195

Adjacent sequences:  A060439 A060440 A060441 * A060443 A060444 A060445

KEYWORD

nonn,tabf,easy

AUTHOR

N. J. A. Sloane, Apr 07 2001

EXTENSIONS

More terms from James A. Sellers, Apr 09 2001

STATUS

approved

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Last modified April 22 08:25 EDT 2019. Contains 322329 sequences. (Running on oeis4.)