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%I #39 Dec 18 2018 15:45:37
%S 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 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 147,44,208,17,81,42,198,32,158,37,173,1,7,6,30,8
%N a(n) = A319019(n)/8.
%C 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 Rémy Sigrist, <a href="/A322050/b322050.txt">Table of n, a(n) for n = 2..65536</a> (first 2048 terms from Hugo Pfoertner)
%H Rémy Sigrist, <a href="/A322050/a322050_1.cs.txt">C# program for A322050</a>
%e This sequence may be redrawn as an array with rows of lengths 1, 2, 4, 8, 16, ...:
%e 1,
%e 1, 5,
%e 1, 7, 3, 15,
%e 1, 7, 6, 30, 5, 26, 7, 35,
%e 1, 7, 6, 30, 8, 48, 15, 71, 7, 33, 18, 86, 14, 70, 17, 81,
%e 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 ...
%e 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 (C#) See Links section.
%Y Cf. A319018, A319019, A322048, A322049.
%K nonn,tabf
%O 2,3
%A _N. J. A. Sloane_, Dec 15 2018
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