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A097351
Rectangular array T(n,k) by antidiagonals; rows are generalized Fibonacci sequences and every relatively prime pair (i,j) satisfying 1 <= i < j occurs exactly once.
1
1, 2, 1, 3, 3, 1, 5, 4, 4, 1, 8, 7, 5, 5, 1, 13, 11, 9, 6, 6, 2, 21, 18, 14, 11, 7, 5, 1, 34, 29, 23, 17, 13, 7, 7, 1, 55, 47, 37, 28, 20, 12, 8, 8, 2, 89, 76, 60, 45, 33, 19, 15, 9, 7, 1, 144, 123, 97, 73, 53, 31, 23, 17, 9, 9, 3, 233, 199, 157, 118, 86, 50, 38, 26, 16, 10, 7, 1, 377, 322
OFFSET
1,2
COMMENTS
In every row, the limiting ratio of consecutive terms is tau.
FORMULA
Recurrence for row n: T(n, k)=T(n, k-1)+T(n, k-2). Each row after the first begins with lexically least relatively prime pair not in previous rows.
EXAMPLE
Northwest corner:
1 2 3 5 8
1 3 4 7 11
1 4 5 9 14
1 5 6 11 17
1 6 7 13 20
2 5 7 12 19
CROSSREFS
Sequence in context: A142249 A274705 A257243 * A378288 A207330 A048600
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 08 2004
STATUS
approved