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A131966 Interspersion associated with the Cantor fractal sequence, A088370. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A269366 A275376 A132284 * A194970 A194982 A064578

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

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Last modified May 8 15:03 EDT 2021. Contains 343666 sequences. (Running on oeis4.)