A169690 - OEIS

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A169690

Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j.

2, 5, 7, 13, 18, 20, 34, 47, 52, 54, 89, 123, 136, 141, 143, 233, 322, 356, 369, 374, 376, 610, 843, 932, 966, 979, 984, 986, 1597, 2207, 2440, 2529, 2563, 2576, 2581, 2583, 4181, 5778, 6388, 6621, 6710, 6744, 6757, 6762, 6764, 10946, 15127, 16724, 17334, 17567

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OFFSET

1,1

COMMENTS

The sequences S and T (see A169691) are a pair of sequences with the property that the differences between the terms of S are disjoint from the differences between the terms of T, thus answering a question posed by S. W. Golomb.

LINKS

Table of n, a(n) for n=1..50.

MATHEMATICA

nn=30; With[{fib2=Fibonacci[Range[2, nn, 2]]}, Union[Flatten[Table[ fib2[[n]]- Take[ fib2, n-1], {n, nn/2}]]]] (* Harvey P. Dale, Jun 18 2012 *)

CROSSREFS

Cf. A000045, A001906, A169691, A169692, A169693, A169694, A169677-A169680.

Sequence in context: A023229 A176983 A160676 * A144300 A258430 A333242

Adjacent sequences: A169687 A169688 A169689 * A169691 A169692 A169693

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 14 2010

STATUS

approved