This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A134564 #20 Jan 05 2025 19:51:38 %S A134564 1,2,6,3,8,25,4,9,32,94,5,11,34,120,344,7,12,35,127,439,1251,10,13,42, %T A134564 129,465,1596,4543,14,15,44,130,472,1691 %N A134564 Array read by antidiagonals: row n consists of numbers whose 4th-order Zeckendorf representation has exactly n terms. %C A134564 A permutation of the positive integers. %H A134564 Clark Kimberling, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/33-1/kimberling.pdf">The Zeckendorf array equals the Wythoff array</a>, Fibonacci Quarterly 33 (1995) 3-8. %H A134564 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a> %F A134564 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. %e A134564 Northwest corner: %e A134564 1 2 3 4 5 7 10 14 19 26 36 50 69 ... %e A134564 6 8 9 11 12 13 ... %e A134564 25 32 34 35 42 44 ... %e A134564 94 120 127 129 130 156 ... %e A134564 For example, 32 = 26 + 5 + 1 has 3 terms, so 32 is in row 3. %Y A134564 Cf. A003269, A136190, A134563. %K A134564 nonn,tabl,more %O A134564 1,2 %A A134564 _Clark Kimberling_, Nov 01 2007, Dec 18 2007