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A134564 Array read by antidiagonals: row n consists of numbers whose 4th-order Zeckendorf representation has exactly n terms. 2
1, 2, 6, 3, 8, 25, 4, 9, 32, 94, 5, 11, 34, 120, 344, 7, 12, 35, 127, 439, 1251, 10, 13, 42, 129, 465, 1596, 4543, 14, 15, 44, 130, 472, 1691 (list; table; graph; refs; listen; history; text; internal format)
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
Sequence in context: A191708 A368038 A082154 * A016637 A341942 A133917
KEYWORD
nonn,tabl,more
AUTHOR
Clark Kimberling, Nov 01 2007, Dec 18 2007
STATUS
approved

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Last modified May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)