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A189562 Irregular triangle in which row n has even numbers k that have n solutions to the equation x' = k, where x' denotes the arithmetic derivative (A003415). 3

%I #6 Mar 30 2012 17:22:58

%S 2,4,6,8,10,12,14,18,20,28,38,16,22,26,30,40,52,62,68,98,24,32,34,36,

%T 42,44,46,50,56,58,88,122,128,54,64,70,74,76,82,86,94,104,136,148,152,

%U 158,48,66,80,92,100,106,110,116,118,124,134,146,164,166,172,182

%N Irregular triangle in which row n has even numbers k that have n solutions to the equation x' = k, where x' denotes the arithmetic derivative (A003415).

%C The length of row n is A189561(n). The first term in row n is A189558(n).

%D See A003415.

%H T. D. Noe, <a href="/A189562/b189562.txt">Rows n = 0..250, flattened</a>

%F Row n has even numbers k such that A099302(k) = n.

%e The triangle begins:

%e 2

%e 4, 6, 8

%e 10, 12, 14, 18, 20, 28, 38

%e 16, 22, 26, 30, 40, 52, 62, 68, 98

%e 24, 32, 34, 36, 42, 44, 46, 50, 56, 58, 88, 122, 128

%e 54, 64, 70, 74, 76, 82, 86, 94, 104, 136, 148, 152, 158

%e 48, 66, 80, 92, 100, 106, 110, 116, 118, 124, 134, 146, 164, 166, 172, 182

%Y Cf. A003415, A099302, A189561.

%K nonn,tabf

%O 0,1

%A _T. D. Noe_, Apr 24 2011

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