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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 Table of n, a(n) for n=1..34. Clark Kimberling, The Zeckendorf array equals the Wythoff array, Fibonacci Quarterly 33 (1995) 3-8. Index entries for sequences that are permutations of the natural numbers 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 Cf. A003269, A136190, A134563. Sequence in context: A191708 A368038 A082154 * A016637 A341942 A133917 Adjacent sequences: A134561 A134562 A134563 * A134565 A134566 A134567 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.)