A097352 - OEIS

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A097352

Rectangular array T(n,k) by antidiagonals; rows are generalized Fibonacci sequences and every pair (i,j) satisfying 1 <= i < j occurs exactly once.

1, 1, 1, 2, 3, 2, 3, 4, 2, 1, 5, 7, 4, 4, 1, 8, 11, 6, 5, 5, 3, 13, 18, 10, 9, 6, 3, 1, 21, 29, 16, 14, 11, 6, 6, 2, 34, 47, 26, 23, 17, 9, 7, 5, 1, 55, 76, 42, 37, 28, 15, 13, 7, 7, 2, 89, 123, 68, 60, 45, 24, 20, 12, 8, 6, 4, 144, 199, 110, 97, 73, 39, 33, 19, 15, 8, 4, 1, 253, 322

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

In every row, the limiting ratio of consecutive terms is tau.

LINKS

Table of n, a(n) for n=1..80.

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 pair not in previous rows.

EXAMPLE

Northwest corner:

1 1 2 3 5