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 A057843 #20 Jul 29 2025 15:35:42 %S A057843 -1,2,4,7,10,12,15,17,20,23,25,28,31,33,36,38,41,44,46,49,51,54,57,59, %T A057843 62,65,67,70,72,75,78,80,83,86,88,91,93,96,99,101,104,106,109,112,114, %U A057843 117,120,122,125,127,130,133,135,138,140,143,146,148,151,154,156,159 %N A057843 a(n) = floor(n*tau^2) - 3, where tau = (1+sqrt(5))/2. %C A057843 This sequence and A007064 are very similar - this can be seen if the terms equal to 4 are aligned. - _Thomas Baruchel_, Nov 04 2003 %H A057843 Jon Asier Bárcena-Petisco, Luis Martínez, María Merino, Juan Manuel Montoya, and Antonio Vera-López, <a href="https://arxiv.org/abs/2503.19696">Fibonacci-like partitions and their associated piecewise-defined permutations</a>, arXiv:2503.19696 [math.CO], 2025. See p. 3. %H A057843 Johan Kok, <a href="https://arxiv.org/abs/2507.16500">Integer sequences with conjectured relation with certain graph parameters of the family of linear Jaco graphs</a>, arXiv:2507.16500 [math.CO], 2025. See pp. 5-6. %t A057843 Floor[GoldenRatio^2 Range[70]]-3 (* _Harvey P. Dale_, May 15 2014 *) %o A057843 (PARI) a(n)=(3+sqrt(5))*n\2 - 3 \\ _Charles R Greathouse IV_, Jan 23 2015 %Y A057843 Subtract 2 from each term of A003622. Complement of A058065. %K A057843 sign %O A057843 1,2 %A A057843 _N. J. A. Sloane_, Nov 24 2000