OFFSET
1,2
COMMENTS
A permutation of the positive integers.
LINKS
Clark Kimberling, The Zeckendorf array equals the Wythoff array, Fibonacci Quarterly 33 (1995) 3-8.
FORMULA
Row 1, A035513, is the 4th-order Zeckendorf basis, b(1), b(2), b(3), .... Every positive integer has a unique 4th-order Zeckendorf representation b(i(1)) + b(i(2)) + ... + b(i(n)), where |i(h) - i(j)| >= 4 for distinct h and j.
EXAMPLE
Northwest corner:
1 2 3 4 5 7 10 14 19 26 36 50 69 ...
6 8 9 11 12 13 ...
25 32 34 35 42 44 ...
94 120 127 129 130 156 ...
For example, 32 = 26 + 5 + 1 has 3 terms, so 32 is in row 3.
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Nov 01 2007, Dec 18 2007
STATUS
approved