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Interspersion associated with the Cantor fractal sequence, A088370.
2

%I #9 Jul 26 2019 17:24:20

%S 1,2,3,4,6,5,7,9,8,10,11,14,13,15,12,16,19,18,21,17,20,22,26,24,28,23,

%T 27,25,29,33,31,35,30,34,32,36,37,42,40,44,39,43,41,45,38,46,51,49,54,

%U 48,53,50,55,47,52,56,62,59,65,58,64,61,66,57,63,60,67,73,70,76,69,75,72,78,68,74,71,77

%N Interspersion associated with the Cantor fractal sequence, A088370.

%C A permutation of the natural numbers.

%D C. Kimberling, "Fractal sequences and interspersions," Ars Combinatoria 45 (1997) 157-168.

%H Alois P. Heinz, <a href="/A131966/b131966.txt">Antidiagonals n = 1..200, flattened</a>

%F T is a rectangular array given by antidiagonals: T(i,j) = the j-th index n for which A088370(n) = i.

%e Northwest corner:

%e 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, ...

%e 3, 6, 9, 14, 19, 26, 33, 42, 51, 62, ...

%e 5, 8, 13, 18, 24, 31, 40, 49, 59, 70, ...

%e 10, 15, 21, 28, 35, 44, 54, 65, 76, 89, ...

%e 12, 17, 23, 30, 39, 48, 58, 69, 81, 94, ...

%e 20, 27, 34, 43, 53, 64, 75, 88, 101, 116, ...

%e 25, 32, 41, 50, 61, 72, 85, 98, 112, 127, ...

%e 36, 45, 55, 66, 78, 91, 105, 120, 135, 152, ...

%e 38, 47, 57, 68, 80, 93, 107, 122, 139, 156, ...

%e 52, 63, 74, 87, 100, 115, 130, 147, 165, 184, ...

%Y Cf. A088370.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Aug 02 2007

%E Typo in a(18) corrected by _Alois P. Heinz_, Jul 26 2019