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A120255 Array read by rows, where the n-th row (of A120256(n) terms) lists the positive divisors, not occurring earlier in the array, of the n-th Fibonacci number. 4
1, 2, 3, 5, 4, 8, 13, 7, 21, 17, 34, 11, 55, 89, 6, 9, 12, 16, 18, 24, 36, 48, 72, 144, 233, 29, 377, 10, 61, 122, 305, 610, 47, 141, 329, 987, 1597, 19, 38, 68, 76, 136, 152, 323, 646, 1292, 2584, 37, 113, 4181, 15, 33, 41, 123, 165, 205, 451, 615, 1353, 2255, 6765, 26 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

A permutation of the natural numbers, ordered by A001177 and ties broken by the number itself. Inverse permutation is A119745. - Martin Fuller, Sep 10 2006

LINKS

Michael De Vlieger, Table of n, a(n) for n = 2..12333 (rows 2 <= n <= 100)

EXAMPLE

Fibonacci(9) = 34; and the divisors of 34 are 1, 2, 17 and 34. Of these divisors, 1 and 2 occur earlier in the array.

So the 9th row of the array is [17, 34].

MATHEMATICA

f[t_] := Append[t, Select[Divisors[Fibonacci[Length[t] + 1]], FreeQ[Flatten[t], # ] &]]; Flatten@Nest[f, {}, 20] (* Ray Chandler, Jun 14 2006 *)

CROSSREFS

Cf. A001177, A119745, A120256.

Sequence in context: A185728 A285492 A272090 * A245608 A244154 A182395

Adjacent sequences:  A120252 A120253 A120254 * A120256 A120257 A120258

KEYWORD

nonn,tabf

AUTHOR

Leroy Quet, Jun 13 2006

EXTENSIONS

Extended by Ray Chandler, Jun 14 2006

STATUS

approved

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Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)