login
A169690
Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j.
7
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
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.
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 *)
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 14 2010
STATUS
approved