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

1,2

Comments

A permutation of the natural numbers.

References

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

Links

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

Formula

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

Example

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, ...

Crossrefs

Cf. A088370.

Sequence in context: A275376 A342798 A132284 * A360371 A194970 A194982

Adjacent sequences: A131963 A131964 A131965 * A131967 A131968 A131969

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 02 2007

Extensions

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

Status

approved