A131966 Interspersion associated with the Cantor fractal sequence, A088370.

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

Offset: 1

Author

Clark Kimberling, Aug 02 2007

Keywords

• nonn
• tabl

Comments

A permutation of the natural numbers.

Examples

			Northwest corner:
   1,  2,  4,  7,  11,  16,  22,  29,  37,  46, ...
   3,  6,  9, 14,  19,  26,  33,  42,  51,  62, ...
   5,  8, 13, 18,  24,  31,  40,  49,  59,  70, ...
  10, 15, 21, 28,  35,  44,  54,  65,  76,  89, ...
  12, 17, 23, 30,  39,  48,  58,  69,  81,  94, ...
  20, 27, 34, 43,  53,  64,  75,  88, 101, 116, ...
  25, 32, 41, 50,  61,  72,  85,  98, 112, 127, ...
  36, 45, 55, 66,  78,  91, 105, 120, 135, 152, ...
  38, 47, 57, 68,  80,  93, 107, 122, 139, 156, ...
  52, 63, 74, 87, 100, 115, 130, 147, 165, 184, ...
		

References

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

Links

• Alois P. Heinz, Antidiagonals n = 1..200, flattened

Crossrefs

Cf. A088370.

Formula

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

Extensions

Typo in a(18) corrected by Alois P. Heinz, Jul 26 2019