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 A322050 #42 Aug 27 2024 18:17:54 %S A322050 1,1,5,1,7,3,15,1,7,6,30,5,26,7,35,1,7,6,30,8,48,15,71,7,33,18,86,14, %T A322050 70,17,81,1,7,6,30,8,48,17,81,9,50,29,141,25,131,30,152,6,27,20,96,25, %U A322050 147,44,208,17,81,42,198,32,158,37,173,1,7,6,30,8 %N A322050 a(n) = A319019(n)/8. %C A322050 This is the number of new cells turned ON at the n-th generations in a 45-degree sector of the knights-move analog of the Ulam-Warburton cellular automaton defined in A319018. %H A322050 Rémy Sigrist, <a href="/A322050/b322050.txt">Table of n, a(n) for n = 2..65536</a> (first 2048 terms from Hugo Pfoertner) %H A322050 Rémy Sigrist, <a href="/A322050/a322050_1.cs.txt">C# program for A322050</a> %e A322050 This sequence may be redrawn as an array with rows of lengths 1, 2, 4, 8, 16, ...: %e A322050 1, %e A322050 1, 5, %e A322050 1, 7, 3, 15, %e A322050 1, 7, 6, 30, 5, 26, 7, 35, %e A322050 1, 7, 6, 30, 8, 48, 15, 71, 7, 33, 18, 86, 14, 70, 17, 81, %e A322050 1, 7, 6, 30, 8, 48, 17, 81, 9, 50, 29, 141, 25, 131, 30, 152, 6, 27, 20, 96, 25, 147, 44, 208, 17, 81, 42, 198, 32, 158, 37, 173, %e A322050 ... %e A322050 See A322048 for the final element of these rows; see A322049 for the sequence to which the rows converge, with additional formulas for the n-th element of each (sufficiently long) row. - _M. F. Hasler_, Dec 18 2018 %o A322050 (C#) // See Links section. %Y A322050 Cf. A319018, A319019, A322048, A322049. %K A322050 nonn,tabf %O A322050 2,3 %A A322050 _N. J. A. Sloane_, Dec 15 2018