OFFSET
1,2
COMMENTS
A permutation of the natural numbers.
LINKS
C. Kimberling, The Zeckendorf array equals the Wythoff array, Fibonacci Quarterly 33 (1995) 3-8.
FORMULA
Row 1, A000930, is the 3rd-order Zeckendorf basis, b(1), b(2), b(3), .... Every positive integer has a unique 3rd-order Zeckendorf representation b(i(1)) + b(i(2)) + ... + b(i(n)), where |i(h) - i(j)| >=3 for distinct h and j.
EXAMPLE
Northwest corner of the array:
1 2 3 4 6 9 13 19 28 41 60 88 129 ...
5 7 8 10 11 12 ...
18 24 26 27 33 35 ...
59 78 84 86 87 106 ...
For example, 26=19+6+1 has 3 terms, so 26 is in row 3.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Nov 01 2007, Dec 18 2007
STATUS
approved